Question

solve for variable: x^4-10x^2+9=0

Answer 1

Simplifying x4 + -10x2 + 9 = 0
Reorder the terms:
9 + -10x2 + x4 = 0
Solving 9 + -10x2 + x4 = 0
Solving for variable 'x'.
Factor a trinomial.
(1 + -1x2)(9 + -1x2) = 0
Factor a difference between two squares.
((1 + x)(1 + -1x))(9 + -1x2) = 0
Factor a difference between two squares.
((3 + x)(3 + -1x))(1 + x)(1 + -1x) = 0
Subproblem 1Set the factor '(1 + x)' equal to zero and attempt to solve:
Simplifying 1 + x = 0
Solving 1 + x = 0
Move all terms containing x to the left, all other terms to the right.
Add '-1' to each side of the equation.
1 + -1 + x = 0 + -1
Combine like terms: 1 + -1 = 0
0 + x = 0 + -1
x = 0 + -1
Combine like terms: 0 + -1 = -1
x = -1
Simplifying x = -1
Subproblem 2Set the factor '(1 + -1x)' equal to zero and attempt to solve:
Simplifying 1 + -1x = 0
Solving 1 + -1x = 0
Move all terms containing x to the left, all other terms to the right.
Add '-1' to each side of the equation.
1 + -1 + -1x = 0 + -1
Combine like terms: 1 + -1 = 0
0 + -1x = 0 + -1
-1x = 0 + -1
Combine like terms: 0 + -1 = -1
-1x = -1
Divide each side by '-1'.
x = 1
Simplifying x = 1
Subproblem 3Set the factor '(3 + x)' equal to zero and attempt to solve:
Simplifying 3 + x = 0
Solving 3 + x = 0
Move all terms containing x to the left, all other terms to the right.
Add '-3' to each side of the equation.
3 + -3 + x = 0 + -3
Combine like terms: 3 + -3 = 0
0 + x = 0 + -3
x = 0 + -3
Combine like terms: 0 + -3 = -3
x = -3
Simplifying x = -3
Subproblem 4Set the factor '(3 + -1x)' equal to zero and attempt to solve
Simplifying 3 + -1x = 0
Solvinh 3 + -1x = 0
Move all terms containing x to the left, all other terms to the right.
Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3
Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3
Combine like terms: 0 + -3 = -3
-1x = -3
Divide each side by '-1'.
x = 3
Simplifying
x = 3Solutionx = {-1, 1, -3, 3}

Answer 2

understand?

Answer 3

yess ! :D THANK YOU!

Answer 4

yo welcome