SuicideFuel Math thread problem (official)

[Sneir]

First, x needs to be nonnegative. Let u = the cube root of x. Then sqrt(1 + u^3) = u^2 - 1. Squaring both sides yields that 1 + u^3 = u^4 - 2u^2 + 1 -- i.e., u^4 - u^3 - 2u^2 = 0, so u = 0 or 0 = u^2 - u - 2 = (u - 2)(u + 1). Since u = 0 would imply x = 0, which is evidently a spurious solution, either u = 2 or u = -1. However, u = -1 would mean that x = -1, so u = 2 AKA x = 8 is the only solution.

After DEATH LABOUR CAMP I WILL SOLVE (IN VIDEO GAME)

 

[trying to ascend]

First, x needs to be nonnegative. Let u = the cube root of x. Then sqrt(1 + u^3) = u^2 - 1. Squaring both sides yields that 1 + u^3 = u^4 - 2u^2 + 1 -- i.e., u^4 - u^3 - 2u^2 = 0, so u = 0 or 0 = u^2 - u - 2 = (u - 2)(u + 1). Since u = 0 would imply x = 0, which is evidently a spurious solution, either u = 2 or u = -1. However, u = -1 would mean that x = -1, so u = 2 AKA x = 8 is the only solution.

Correct

 

[Sneir]

Correct

GIVE ME MATH PROBLEM I WILL SOLVE IT RN (IN VIDEO GAME)

 

[Khanivore]

@trying to ascend TO EASY NEXT View attachment 701769 (IN VIDEO GAME)

Answer= 1488?

 

[Fallenleaves]

@trying to ascend @Ahnfeltia Any book recommendations for a beginner self learning linear algebra?

 

[Ahnfeltia]

@trying to ascend @Ahnfeltia Any book recommendations for a beginner self learning linear algebra?

The linear algebra book my uni used was in Flemish, so no. The following might be nice, however.

 

[Fallenleaves]

The linear algebra book my uni used was in Flemish, so no. The following might be nice, however.

I'm watching this video.

 

[Ahnfeltia]

I'm watching this video.

Seems like a pretty decent linear algebra course at a cursory glance.

 

[PLA1092]

mfw Sneir just solved the Collatz conjecture

ive solved it

 

[Ahnfeltia]

ive solved it

apes be aping I guess

 

[PLA1092]

apes be aping I guess

ngl

 

[ShadowSunshine88]

Nigga i'm still in high school

Let a be a positive real number. Set S(a) to the value of the enclosed area bounded by the y-axis, by the parabola =x² and by the tangent line to the same parabola at the point (a, a²).


Find the limit: lim→+∞ S(a)/(a³ + a² + a + 1)

 

[trying to ascend]

Nigga i'm still in high school

Most of those problems are meant for HS students

 

[ShadowSunshine88]

Most of those problems are meant for HS students

I didn't learn this yet, or maybe not the same terms you use, do you live in the us?

 

[trying to ascend]

I didn't learn this yet, or maybe not the same terms you use, do you live in the us?

I don’t

 

[DespressedCurryCel1]

I have math this semester

 

[trying to ascend]

I have math this semester

Find the lowest value of |x - w |, given that |x| = 12 and | w - 3 - 4i| = 5

 

[DespressedCurryCel1]

Find the lowest value of |x - w |, given that |x| = 12 and | w - 3 - 4i| = 5

I got have what that means sadly because we are learning parabolas right now

 

[trying to ascend]

I got no idea what that means were learning parabolas right now

Absolute value of complex numbers, circumferences in the gauss plane

 

[DespressedCurryCel1]

Absolute value of complex numbers, circumferences in the gauss plane

Ok. A number is 5 times more than twice another number. Find the two numbers and the maximum value.

 

[gattsu]

Absolute value of complex numbers, circumferences in the gauss plane

I fucking hate complex numbers mang

 

[trying to ascend]

I fucking hate complex numbers mang

What's your favorite math subject?

 

[gattsu]

What's your favorite math subject?

There's no particular subject that stands out to me really, except anything involving complex numbers, though it stands out negatively.

 

[DespressedCurryCel1]

Two numbers have a sum of 29 and a product that is a maximum. Determine the two numbers and the maximum product.

 

[DespressedCurryCel1]

PLS HELP ME MY NIGGER HOME WORK WONT GIVE ME THE CORRECT ANSWER

 

[DespressedCurryCel1]

Two numbers have a sum of 29 and a product that is a maximum. Determine the two numbers and the maximum product.

!!!!

 

[trying to ascend]

Two numbers have a sum of 29 and a product that is a maximum. Determine the two numbers and the maximum product.

Are those integers? If not.

Using the inequality of means, we can see it's 14,5 and 14,5.

If they are integers, then it's 14 and 15

 

[DespressedCurryCel1]

Are those integers? If not.

Using the inequality of means, we can see it's 14,5 and 14,5.

If they are integers, then it's 14 and 15

Ye I figured it out but it was partly googles fault because it said X^2 can be negative but it cant

 

[DespressedCurryCel1]

14.5?

I never learned this stuff in school.

What method did you use and what’s the value for y

 

[Ahnfeltia]

Find the lowest value of |x - w |, given that |x| = 12 and | w - 3 - 4i| = 5

w = 10(3 + 4i)/5 & x = 12(3 + 4i)/5 & |x - w| = 2|3 + 4i|/5 = 2

 

[Ahnfeltia]

Two numbers have a sum of 29 and a product that is a maximum. Determine the two numbers and the maximum product.

While @trying to ascend is right, here's an easy way to see it.

We want to find a & b such that a + b = 90 and a*b is as large as possible. Since a + b = 29, we'll cleverly introduce a new variable c as follows: a = 14.5 + c & b = 14.5 - c. Evidently a + b still equals 29. However, a*b = (14.5 + c)(14.5 - c) = 210.25 - c^2. Since c^2 cannot be negative, the largest value for a*b is achieved when c^2 = 0, i.e., c = 0.

 

[trying to ascend]

w = 10(3 + 4i)/5 & x = 12(3 + 4i)/5 & |x - w| = 2|3 + 4i|/5 = 2

Correct

 

[DespressedCurryCel1]

(n/n)n * 2 = 29

n + n = 29

No Y is -14.5 XD

 

[Ahnfeltia]

What is the method one uses in this kind of problem?

We want to find a & b such that a + b = 90 and a*b is as large as possible. Since a + b = 29, we'll cleverly introduce a new variable c as follows: a = 14.5 + c & b = 14.5 - c. Evidently a + b still equals 29. However, a*b = (14.5 + c)(14.5 - c) = 210.25 - c^2. Since c^2 cannot be negative, the largest value for a*b is achieved when c^2 = 0, i.e., c = 0.

 

[uglymofo95]

Is there a correlation between being good at math and being unattractive to foids

 

[Ahnfeltia]

Is there a correlation between being good at math and being unattractive to foids

There's probably a positive correlation.

 

[nonononono]

Doing maths is cope ai will be here soon

 

[Ahnfeltia]

Doing maths is cope ai will be here soon

Once AI will be able to do math at the level of the best contemporary mathematicians, everything will be cope.

 

[Balding Subhuman]

Can you guys explain this bullshit to me?

 

[Ahnfeltia]

Can you guys explain this bullshit to me?

View attachment 709558

I take it the given expression needs to be simplified? Since x^2 - 6x + 9 = (x - 3)^2, the expression is readily seen to simplify to 4(x - 3) - 3 = 4x - 15.

 

[Diddy29]

Two numbers have a sum of 29 and a product that is a maximum. Determine the two numbers and the maximum product.

Isn't this a Grade 9 question? I thought you were 16.

 

[DespressedCurryCel1]

Isn't this a Grade 9 question? I thought you were 16.

I'm in Canada so we probably have different educational systems. Also, if its so easy go ahead and solve this:

Two numbers have a difference of
13 and a product that is a minimum.
Determine the two numbers and the
minimum product.

 

[trying to ascend]

I'm in Canada so we probably have different educational systems. Also, if its so easy go ahead and solve this:

Two numbers have a difference of
13 and a product that is a minimum.
Determine the two numbers and the
minimum product.

6,5 and -6,5?

 

[DespressedCurryCel1]

6,5 and

dont tell him that jfl I want him to try and solve it himself. I've learned how to do them by now but I just wanna see how easily he does it.

 

[DespressedCurryCel1]

yo solve this @Grim_Reaper

What is the maximum total area that
450 cm of string can enclose if it is used
to form the perimeters of two adjoining
rectangles as shown?

 

[Diddy29]

I'm in Canada so we probably have different educational systems. Also, if its so easy go ahead and solve this:

I live in Canada as well.

Two numbers have a difference of
13 and a product that is a minimum.
Determine the two numbers and the
minimum product.

So let x be the first number and 13+x be the second number
You would have x(13+x)= 13x + x^2
This is a upward parabola so you find the minimum value.
Use the equation -b/2a to find the the x-value of the min value, which is -13/2(2)= -6.5
Then sub the x-value into 13x+x^2, and you get -42.25 as the min product.

 

[Diddy29]

yo solve this @Grim_Reaper

What is the maximum total area that
450 cm of string can enclose if it is used
to form the perimeters of two adjoining
rectangles as shown?

If it's joining two rectangles, then it would have 3 lengths and 4 widths, so the equation would be 3l + 4w = 450
Area would be l*2w, or 150-4/3w * 2w = 300w - 8/3w^2
x-value of max value is -300/(2(-8/3)) = 56.25
Max value and max perimeter is 8437.5.

 

[Diddy29]

If it's joining two rectangles, then it would have 3 lengths and 4 widths, so the equation would be 3l + 4w = 450
Area would be l*2w, or 150-4/3w * 2w = 300w - 8/3w^2
x-value of max value is -300/(2(-8/3)) = 56.25
Max value and max perimeter is 8437.5.

@DespressedCurryCel1 if you know calculus, then find the derivative of 300w - 8/3w^2, which is 300-16/3w, then solve for w by setting the equation to 0, and you'll get 56.25, then sub it back into the original equation and you get your answer.

 

[DespressedCurryCel1]

I live in Canada as well.

Alberta?

 

[DespressedCurryCel1]

@DespressedCurryCel1 if you know calculus, then find the derivative of 300w - 8/3w^2, which is 300-16/3w, then solve for w by setting the equation to 0, and you'll get 56.25, then sub it back into the original equation and you get your answer.

I’m doing pre calculus mang