Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
x3−96x
Evaluate
x3−12x×8
Solution
x3−96x
Show Solution
Factor the expression
x(x2−96)
Evaluate
x3−12x×8
Multiply the terms
x3−96x
Rewrite the expression
x×x2−x×96
Solution
x(x2−96)
Show Solution
Find the roots
x1=−46,x2=0,x3=46
Alternative Form
x1≈−9.797959,x2=0,x3≈9.797959
Evaluate
x3−12x×8
To find the roots of the expression,set the expression equal to 0
x3−12x×8=0
Multiply the terms
x3−96x=0
Factor the expression
x(x2−96)=0
Separate the equation into 2 possible cases
x=0x2−96=0
Solve the equation
More Steps
Evaluate
x2−96=0
Move the constant to the right-hand side and change its sign
x2=0+96
Removing 0 doesn't change the value,so remove it from the expression
x2=96
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±96
Simplify the expression
More Steps
Evaluate
96
Write the expression as a product where the root of one of the factors can be evaluated
16×6
Write the number in exponential form with the base of 4
42×6
The root of a product is equal to the product of the roots of each factor
42×6
Reduce the index of the radical and exponent with 2
46
x=±46
Separate the equation into 2 possible cases
x=46x=−46
x=0x=46x=−46
Solution
x1=−46,x2=0,x3=46
Alternative Form
x1≈−9.797959,x2=0,x3≈9.797959
Show Solution