SuicideFuel Problem

[TryingToAscend2]

Find all pairs of x and y, such that:

x³ + 9x²y = 10

y³ + xy² = 2.

Posted in the wrong board

 

[TryingToAscend2]

View attachment 665180 (im videospiel)

Correct!

 

[proudweeb]

1 and 1 would be the easy answer lol

 

[proudweeb]

also x = -0.5-0.866i. y = -0.5-0.866i
x = -0.5+0.866i. y = -0.5+0.866i
x = -0.854, y = 1.62
x = 5.85, y = -0.618

brutal linear algebra pill lol

 

[TryingToAscend2]

also x = -0.5-0.866i. y = -0.5-0.866i
x = -0.5+0.866i. y = -0.5+0.866i
x = -0.854, y = 1.62
x = 5.85, y = -0.618

brutal linear algebra pill lol

You don't linear algebra to solve it, but how can you solve using it?

 

[Noseman]

Find all pairs of x and y, such that:

x³ + 9x²y = 10

y³ + xy² = 2.

Posted in the wrong board

Cockinbussy?

 

[proudweeb]

You don't linear algebra to solve it, but how can you solve using it?

i solved it by typing it into wolfram alpha lol

 

[proudweeb]

You don't linear algebra to solve it, but how can you solve using it?

I'm impressed this one can even be solved with real numbers, most of the time when people post them here, they can only be solved with imaginary numbers

 

[Betrayed]

You calculate first one x"3 + 9 * x"2 * y = 10 right?
First problem ("x is upper number)

Assuming X= 0.5
0.5 "3 = 0.0625
0.5 "2 = 0.25

0.0625 + 9 * 0.25
0.0625 + 2.25
0.0625 + 2.25 * y = 10 /- 0.0625

2.25 * y = 10 - 0.0625 - 9
2.25 * y = 0.9375
0.9375 : 2.25 = y
0.9375 : 2.25 = 4.416666 (infinite 6)

Therefore

X= 0.5
Y= 4.4166 (infinite 6)
0.0625 + 9 * 0.25 * 4.4166 (infinite 6) = 10
0.0625 + 2.25 * 4.4166 (infinite 6) = 10
0.0625 + 9.9375 = 10

im in grade 10

 

[TryingToAscend2]

You calculate first one x"3 + 9 * x"2 * y = 10 right?
First problem ("x is upper number)

Assuming X= 0.5
0.5 "3 = 0.0625
0.5 "2 = 0.25

0.0625 + 9 * 0.25
0.0625 + 2.25
0.0625 + 2.25 * y = 10 /- 0.0625

2.25 * y = 10 - 0.0625 - 9
2.25 * y = 0.9375
0.9375 : 2.25 = y
0.9375 : 2.25 = 4.416666 (infinite 6)

Therefore

X= 0.5
Y= 4.4166 (infinite 6)
0.0625 + 9 * 0.25 * 4.4167 = 10
0.0625 + 2.25 * 4.4166 (infinite 6) = 10
0.0625 + 9.9375 = 10

im in grade 10

Wrong

 

[Betrayed]

Wrong

what did I do wrong

 

[TryingToAscend2]

what did I do wrong

You need to find pairs that simultaneously satisfy both equations.

Otherwise, there are infinite pairs of x and y, thus the question becomes pointless

 

[Betrayed]

You need to find pairs that simultaneously satisfy both equations.

Otherwise, there are infinite pairs of x and y, thus the question becomes pointless

Alright, that makes sense. Still fun calculating tho