Question
Factor the expression
5(11x5−1)
Evaluate
55x5−5
Solution
5(11x5−1)
Show Solution

Find the roots
x=11514641
Alternative Form
x≈0.619044
Evaluate
55x5−5
To find the roots of the expression,set the expression equal to 0
55x5−5=0
Move the constant to the right-hand side and change its sign
55x5=0+5
Removing 0 doesn't change the value,so remove it from the expression
55x5=5
Divide both sides
5555x5=555
Divide the numbers
x5=555
Cancel out the common factor 5
x5=111
Take the 5-th root on both sides of the equation
5x5=5111
Calculate
x=5111
Solution
More Steps

Evaluate
5111
To take a root of a fraction,take the root of the numerator and denominator separately
51151
Simplify the radical expression
5111
Multiply by the Conjugate
511×51145114
Simplify
511×5114514641
Multiply the numbers
More Steps

Evaluate
511×5114
The product of roots with the same index is equal to the root of the product
511×114
Calculate the product
5115
Reduce the index of the radical and exponent with 5
11
11514641
x=11514641
Alternative Form
x≈0.619044
Show Solution
