Question
Factor the expression
Factor
(x−3)(x+3)(x2+10)
Evaluate
x4+x2−90
Rewrite the expression
x4+(10−9)x2−90
Calculate
x4+10x2−9x2−90
Rewrite the expression
x2×x2+x2×10−9x2−9×10
Factor out x2 from the expression
x2(x2+10)−9x2−9×10
Factor out −9 from the expression
x2(x2+10)−9(x2+10)
Factor out x2+10 from the expression
(x2−9)(x2+10)
Solution
(x−3)(x+3)(x2+10)
Show Solution
Find the roots
Find the roots of the algebra expression
x1=−10×i,x2=10×i,x3=−3,x4=3
Alternative Form
x1≈−3.162278i,x2≈3.162278i,x3=−3,x4=3
Evaluate
x4+x2−90
To find the roots of the expression,set the expression equal to 0
x4+x2−90=0
Factor the expression
(x−3)(x+3)(x2+10)=0
Separate the equation into 3 possible cases
x−3=0x+3=0x2+10=0
Solve the equation
More Steps
Evaluate
x−3=0
Move the constant to the right-hand side and change its sign
x=0+3
Removing 0 doesn't change the value,so remove it from the expression
x=3
x=3x+3=0x2+10=0
Solve the equation
More Steps
Evaluate
x+3=0
Move the constant to the right-hand side and change its sign
x=0−3
Removing 0 doesn't change the value,so remove it from the expression
x=−3
x=3x=−3x2+10=0
Solve the equation
More Steps
Evaluate
x2+10=0
Move the constant to the right-hand side and change its sign
x2=0−10
Removing 0 doesn't change the value,so remove it from the expression
x2=−10
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±−10
Simplify the expression
More Steps
Evaluate
−10
Evaluate the power
10×−1
Evaluate the power
10×i
x=±(10×i)
Separate the equation into 2 possible cases
x=10×ix=−10×i
x=3x=−3x=10×ix=−10×i
Solution
x1=−10×i,x2=10×i,x3=−3,x4=3
Alternative Form
x1≈−3.162278i,x2≈3.162278i,x3=−3,x4=3
Show Solution