Question
Factor the expression
2(1+x4)
Evaluate
2+2x4
Solution
2(1+x4)
Show Solution

Find the roots
x1=−22−22i,x2=22+22i
Alternative Form
x1≈−0.707107−0.707107i,x2≈0.707107+0.707107i
Evaluate
2+2x4
To find the roots of the expression,set the expression equal to 0
2+2x4=0
Move the constant to the right-hand side and change its sign
2x4=0−2
Removing 0 doesn't change the value,so remove it from the expression
2x4=−2
Divide both sides
22x4=2−2
Divide the numbers
x4=2−2
Divide the numbers
More Steps

Evaluate
2−2
Reduce the numbers
1−1
Calculate
−1
x4=−1
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±4−1
Simplify the expression
More Steps

Evaluate
4−1
Rewrite the expression
1×(22+22i)
Any expression multiplied by 1 remains the same
22+22i
x=±(22+22i)
Separate the equation into 2 possible cases
x=22+22ix=−22−22i
Solution
x1=−22−22i,x2=22+22i
Alternative Form
x1≈−0.707107−0.707107i,x2≈0.707107+0.707107i
Show Solution
