Question
Solve the equation
x=533150
Alternative Form
x≈2.931794
Evaluate
120=x2×5x−6
Multiply
More Steps

Evaluate
x2×5x
Multiply the terms with the same base by adding their exponents
x2+1×5
Add the numbers
x3×5
Use the commutative property to reorder the terms
5x3
120=5x3−6
Swap the sides of the equation
5x3−6=120
Move the constant to the right-hand side and change its sign
5x3=120+6
Add the numbers
5x3=126
Divide both sides
55x3=5126
Divide the numbers
x3=5126
Take the 3-th root on both sides of the equation
3x3=35126
Calculate
x=35126
Solution
More Steps

Evaluate
35126
To take a root of a fraction,take the root of the numerator and denominator separately
353126
Multiply by the Conjugate
35×3523126×352
Simplify
35×3523126×325
Multiply the numbers
More Steps

Evaluate
3126×325
The product of roots with the same index is equal to the root of the product
3126×25
Calculate the product
33150
35×35233150
Multiply the numbers
More Steps

Evaluate
35×352
The product of roots with the same index is equal to the root of the product
35×52
Calculate the product
353
Reduce the index of the radical and exponent with 3
5
533150
x=533150
Alternative Form
x≈2.931794
Show Solution
