Question
Factor the expression
3(5x5−2)
Evaluate
15x5−6
Solution
3(5x5−2)
Show Solution

Find the roots
x=551250
Alternative Form
x≈0.832553
Evaluate
15x5−6
To find the roots of the expression,set the expression equal to 0
15x5−6=0
Move the constant to the right-hand side and change its sign
15x5=0+6
Removing 0 doesn't change the value,so remove it from the expression
15x5=6
Divide both sides
1515x5=156
Divide the numbers
x5=156
Cancel out the common factor 3
x5=52
Take the 5-th root on both sides of the equation
5x5=552
Calculate
x=552
Solution
More Steps

Evaluate
552
To take a root of a fraction,take the root of the numerator and denominator separately
5552
Multiply by the Conjugate
55×55452×554
Simplify
55×55452×5625
Multiply the numbers
More Steps

Evaluate
52×5625
The product of roots with the same index is equal to the root of the product
52×625
Calculate the product
51250
55×55451250
Multiply the numbers
More Steps

Evaluate
55×554
The product of roots with the same index is equal to the root of the product
55×54
Calculate the product
555
Reduce the index of the radical and exponent with 5
5
551250
x=551250
Alternative Form
x≈0.832553
Show Solution
