SOLUTION: Find the real solution by factoring X^4 = x^2 X to the fourth equals x to the second

Question 895278: Find the real solution by factoring
X^4 = x^2
X to the fourth equals x to the second
Found 2 solutions by jim_thompson5910, harpazo:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

or or

or or

The three solutions are or or
Answer by harpazo(655) (Show Source): You can put this solution on YOUR website!
x^4 = x^2

x^4 - x^2 = 0

x^2(x^2 - 1) = 0

Set each factor to zero and solve for x.

x^2 = 0

Take the square root of both sides.

sqrt{x^2) = sqrt{0}

x = 0

Do the same thing to the other factor.

x^2 - 1 = 0
x^2 = 1

sqrt{x^2} = sqrt{1}

x = +1 and x = -1

The real SOLUTIONS are the following values for x: -1, 0 and 1.

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