Question
Factor the expression
2(2−x2)(2+x2)
Evaluate
8−2x4
Factor out 2 from the expression
2(4−x4)
Solution
More Steps
Evaluate
4−x4
Rewrite the expression in exponential form
22−(x2)2
Use a2−b2=(a−b)(a+b) to factor the expression
(2−x2)(2+x2)
2(2−x2)(2+x2)
Show Solution
Find the roots
x1=−2,x2=2
Alternative Form
x1≈−1.414214,x2≈1.414214
Evaluate
8−2x4
To find the roots of the expression,set the expression equal to 0
8−2x4=0
Move the constant to the right-hand side and change its sign
−2x4=0−8
Removing 0 doesn't change the value,so remove it from the expression
−2x4=−8
Change the signs on both sides of the equation
2x4=8
Divide both sides
22x4=28
Divide the numbers
x4=28
Divide the numbers
More Steps
Evaluate
28
Reduce the numbers
14
Calculate
4
x4=4
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±44
Simplify the expression
More Steps
Evaluate
44
Write the number in exponential form with the base of 2
422
Reduce the index of the radical and exponent with 2
2
x=±2
Separate the equation into 2 possible cases
x=2x=−2
Solution
x1=−2,x2=2
Alternative Form
x1≈−1.414214,x2≈1.414214
Show Solution