Question
Solve the equation
x=53175
Alternative Form
x≈1.118689
Evaluate
5x2×x=7
Multiply
More Steps

Evaluate
5x2×x
Multiply the terms with the same base by adding their exponents
5x2+1
Add the numbers
5x3
5x3=7
Divide both sides
55x3=57
Divide the numbers
x3=57
Take the 3-th root on both sides of the equation
3x3=357
Calculate
x=357
Solution
More Steps

Evaluate
357
To take a root of a fraction,take the root of the numerator and denominator separately
3537
Multiply by the Conjugate
35×35237×352
Simplify
35×35237×325
Multiply the numbers
More Steps

Evaluate
37×325
The product of roots with the same index is equal to the root of the product
37×25
Calculate the product
3175
35×3523175
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
53175
x=53175
Alternative Form
x≈1.118689
Show Solution
