Question
Factor the expression
x2(2−11x3)
Evaluate
2x2−11x5
Rewrite the expression
x2×2−x2×11x3
Solution
x2(2−11x3)
Show Solution

Find the roots
x1=0,x2=113242
Alternative Form
x1=0,x2≈0.566516
Evaluate
2x2−11x5
To find the roots of the expression,set the expression equal to 0
2x2−11x5=0
Factor the expression
x2(2−11x3)=0
Separate the equation into 2 possible cases
x2=02−11x3=0
The only way a power can be 0 is when the base equals 0
x=02−11x3=0
Solve the equation
More Steps

Evaluate
2−11x3=0
Move the constant to the right-hand side and change its sign
−11x3=0−2
Removing 0 doesn't change the value,so remove it from the expression
−11x3=−2
Change the signs on both sides of the equation
11x3=2
Divide both sides
1111x3=112
Divide the numbers
x3=112
Take the 3-th root on both sides of the equation
3x3=3112
Calculate
x=3112
Simplify the root
More Steps

Evaluate
3112
To take a root of a fraction,take the root of the numerator and denominator separately
31132
Multiply by the Conjugate
311×311232×3112
Simplify
311×311232×3121
Multiply the numbers
311×31123242
Multiply the numbers
113242
x=113242
x=0x=113242
Solution
x1=0,x2=113242
Alternative Form
x1=0,x2≈0.566516
Show Solution
