Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
x5−6x
Evaluate
x4×x−6x
Solution
More Steps
Evaluate
x4×x
Use the product rule an×am=an+m to simplify the expression
x4+1
Add the numbers
x5
x5−6x
Show Solution
Factor the expression
x(x4−6)
Evaluate
x4×x−6x
Multiply the terms
More Steps
Evaluate
x4×x
Use the product rule an×am=an+m to simplify the expression
x4+1
Add the numbers
x5
x5−6x
Rewrite the expression
x×x4−x×6
Solution
x(x4−6)
Show Solution
Find the roots
x1=−46,x2=0,x3=46
Alternative Form
x1≈−1.565085,x2=0,x3≈1.565085
Evaluate
x4×x−6x
To find the roots of the expression,set the expression equal to 0
x4×x−6x=0
Multiply the terms
More Steps
Evaluate
x4×x
Use the product rule an×am=an+m to simplify the expression
x4+1
Add the numbers
x5
x5−6x=0
Factor the expression
x(x4−6)=0
Separate the equation into 2 possible cases
x=0x4−6=0
Solve the equation
More Steps
Evaluate
x4−6=0
Move the constant to the right-hand side and change its sign
x4=0+6
Removing 0 doesn't change the value,so remove it from the expression
x4=6
Take the root of both sides of the equation and remember to use both positive and negative roots
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≈−1.565085,x2=0,x3≈1.565085
Show Solution