Question

What are the real or imaginary solutions of the polynomial equation?
x^4 - 52x^2 + 576 = 0

A. 4, -4
B. 4, -6
C. 4, -4, 6, -6
D. No solution

Fan and medal will be given out to whoever is most helpful. Thank you in advance!!! :D

Answer 1

compare with ax^2+bx+c=0

Answer 2

this is a bi-quadratic equation, and in order to solve it, it is necessary to make this variable change:
\(x^2=z\), so we get:
\(z^2-52z+576=0\)
so, please solve such equation for \(z\)

Answer 3

or use 52=36+16 and 36*16=576

Answer 4

Thank you guys! :) this was helpful.

Answer 5

Are u with me

Answer 6

Let's go

Answer 7

If Y=x² substitute Y into X²
Y²-52Y+576=0

Answer 8

Now picking from Mohd.Amir clue
Y²–16Y–36Y+576=0

Answer 9

Do u know one thing I hate about maths is the big number but thanks to technology let's move let's move to the next level by finding Y even though we are still seeing it

Answer 10

Oh! Sorry, I'm really busy and got sidetracked. Thank you for all your help :) @Daniel56k

Answer 11

Y(Y–16)–36(Y–16)=0

Answer 12

(Y–16)(Y–36)

Answer 13

The answer is C.

Answer 14

Okay let me just finish the calculation up please

Answer 15

Just kidding u are right

Answer 16

Lol ^.^ thank you

Answer 17

Y=16,Y=36
Substitution
√x²=√16
X=4
X=6

Answer 18

Yep

Answer 19

I found the number right

Answer 20

Yeppeeeeeee

Answer 21

Lol ^.^

Answer 22

My head is so hot right now it can burn down a whole house.......bye

Answer 23

Have to cool my head off with so other maths

Answer 24

Some other maths