Question
Solve the equation
x=23420
Alternative Form
x≈3.744436
Evaluate
2x×x×x−15=90
Rewrite the expression in exponential form
2x3−15=90
Move the constant to the right-hand side and change its sign
2x3=90+15
Add the numbers
2x3=105
Divide both sides
22x3=2105
Divide the numbers
x3=2105
Take the 3-th root on both sides of the equation
3x3=32105
Calculate
x=32105
Solution
More Steps

Evaluate
32105
To take a root of a fraction,take the root of the numerator and denominator separately
323105
Multiply by the Conjugate
32×3223105×322
Simplify
32×3223105×34
Multiply the numbers
More Steps

Evaluate
3105×34
The product of roots with the same index is equal to the root of the product
3105×4
Calculate the product
3420
32×3223420
Multiply the numbers
More Steps

Evaluate
32×322
The product of roots with the same index is equal to the root of the product
32×22
Calculate the product
323
Reduce the index of the radical and exponent with 3
2
23420
x=23420
Alternative Form
x≈3.744436
Show Solution
