Question
Factor the expression
x2(6−17x3)
Evaluate
6x2−17x5
Rewrite the expression
x2×6−x2×17x3
Solution
x2(6−17x3)
Show Solution

Find the roots
x1=0,x2=1731734
Alternative Form
x1=0,x2≈0.706698
Evaluate
6x2−17x5
To find the roots of the expression,set the expression equal to 0
6x2−17x5=0
Factor the expression
x2(6−17x3)=0
Separate the equation into 2 possible cases
x2=06−17x3=0
The only way a power can be 0 is when the base equals 0
x=06−17x3=0
Solve the equation
More Steps

Evaluate
6−17x3=0
Move the constant to the right-hand side and change its sign
−17x3=0−6
Removing 0 doesn't change the value,so remove it from the expression
−17x3=−6
Change the signs on both sides of the equation
17x3=6
Divide both sides
1717x3=176
Divide the numbers
x3=176
Take the 3-th root on both sides of the equation
3x3=3176
Calculate
x=3176
Simplify the root
More Steps

Evaluate
3176
To take a root of a fraction,take the root of the numerator and denominator separately
31736
Multiply by the Conjugate
317×317236×3172
Simplify
317×317236×3289
Multiply the numbers
317×317231734
Multiply the numbers
1731734
x=1731734
x=0x=1731734
Solution
x1=0,x2=1731734
Alternative Form
x1=0,x2≈0.706698
Show Solution
