Question
Factor the expression
x2(1−25x3)
Evaluate
x2−25x5
Rewrite the expression
x2−x2×25x3
Solution
x2(1−25x3)
Show Solution

Find the roots
x1=0,x2=535
Alternative Form
x1=0,x2≈0.341995
Evaluate
x2−25x5
To find the roots of the expression,set the expression equal to 0
x2−25x5=0
Factor the expression
x2(1−25x3)=0
Separate the equation into 2 possible cases
x2=01−25x3=0
The only way a power can be 0 is when the base equals 0
x=01−25x3=0
Solve the equation
More Steps

Evaluate
1−25x3=0
Move the constant to the right-hand side and change its sign
−25x3=0−1
Removing 0 doesn't change the value,so remove it from the expression
−25x3=−1
Change the signs on both sides of the equation
25x3=1
Divide both sides
2525x3=251
Divide the numbers
x3=251
Take the 3-th root on both sides of the equation
3x3=3251
Calculate
x=3251
Simplify the root
More Steps

Evaluate
3251
To take a root of a fraction,take the root of the numerator and denominator separately
32531
Simplify the radical expression
3251
Multiply by the Conjugate
325×32523252
Simplify
325×3252535
Multiply the numbers
52535
Reduce the fraction
535
x=535
x=0x=535
Solution
x1=0,x2=535
Alternative Form
x1=0,x2≈0.341995
Show Solution
