Question
Factor the expression
x(2−13x3)
Evaluate
2x−13x4
Rewrite the expression
x×2−x×13x3
Solution
x(2−13x3)
Show Solution

Find the roots
x1=0,x2=133338
Alternative Form
x1=0,x2≈0.535832
Evaluate
2x−13x4
To find the roots of the expression,set the expression equal to 0
2x−13x4=0
Factor the expression
x(2−13x3)=0
Separate the equation into 2 possible cases
x=02−13x3=0
Solve the equation
More Steps

Evaluate
2−13x3=0
Move the constant to the right-hand side and change its sign
−13x3=0−2
Removing 0 doesn't change the value,so remove it from the expression
−13x3=−2
Change the signs on both sides of the equation
13x3=2
Divide both sides
1313x3=132
Divide the numbers
x3=132
Take the 3-th root on both sides of the equation
3x3=3132
Calculate
x=3132
Simplify the root
More Steps

Evaluate
3132
To take a root of a fraction,take the root of the numerator and denominator separately
31332
Multiply by the Conjugate
313×313232×3132
Simplify
313×313232×3169
Multiply the numbers
313×31323338
Multiply the numbers
133338
x=133338
x=0x=133338
Solution
x1=0,x2=133338
Alternative Form
x1=0,x2≈0.535832
Show Solution
