Question
Simplify the expression
20x3−1
Evaluate
5x2×4x−1
Solution
More Steps

Evaluate
5x2×4x
Multiply the terms
20x2×x
Multiply the terms with the same base by adding their exponents
20x2+1
Add the numbers
20x3
20x3−1
Show Solution

Find the roots
x=10350
Alternative Form
x≈0.368403
Evaluate
5x2×4x−1
To find the roots of the expression,set the expression equal to 0
5x2×4x−1=0
Multiply
More Steps

Multiply the terms
5x2×4x
Multiply the terms
20x2×x
Multiply the terms with the same base by adding their exponents
20x2+1
Add the numbers
20x3
20x3−1=0
Move the constant to the right-hand side and change its sign
20x3=0+1
Removing 0 doesn't change the value,so remove it from the expression
20x3=1
Divide both sides
2020x3=201
Divide the numbers
x3=201
Take the 3-th root on both sides of the equation
3x3=3201
Calculate
x=3201
Solution
More Steps

Evaluate
3201
To take a root of a fraction,take the root of the numerator and denominator separately
32031
Simplify the radical expression
3201
Multiply by the Conjugate
320×32023202
Simplify
320×32022350
Multiply the numbers
More Steps

Evaluate
320×3202
The product of roots with the same index is equal to the root of the product
320×202
Calculate the product
3203
Reduce the index of the radical and exponent with 3
20
202350
Cancel out the common factor 2
10350
x=10350
Alternative Form
x≈0.368403
Show Solution
