Question
Factor the expression
2(2x5−5)
Evaluate
4x5−10
Solution
2(2x5−5)
Show Solution

Find the roots
x=2580
Alternative Form
x≈1.201124
Evaluate
4x5−10
To find the roots of the expression,set the expression equal to 0
4x5−10=0
Move the constant to the right-hand side and change its sign
4x5=0+10
Removing 0 doesn't change the value,so remove it from the expression
4x5=10
Divide both sides
44x5=410
Divide the numbers
x5=410
Cancel out the common factor 2
x5=25
Take the 5-th root on both sides of the equation
5x5=525
Calculate
x=525
Solution
More Steps

Evaluate
525
To take a root of a fraction,take the root of the numerator and denominator separately
5255
Multiply by the Conjugate
52×52455×524
Simplify
52×52455×516
Multiply the numbers
More Steps

Evaluate
55×516
The product of roots with the same index is equal to the root of the product
55×16
Calculate the product
580
52×524580
Multiply the numbers
More Steps

Evaluate
52×524
The product of roots with the same index is equal to the root of the product
52×24
Calculate the product
525
Reduce the index of the radical and exponent with 5
2
2580
x=2580
Alternative Form
x≈1.201124
Show Solution
