Question
Solve the equation
x=731470
Alternative Form
x≈1.624331
Evaluate
x2×7x=30
Multiply
More Steps

Evaluate
x2×7x
Multiply the terms with the same base by adding their exponents
x2+1×7
Add the numbers
x3×7
Use the commutative property to reorder the terms
7x3
7x3=30
Divide both sides
77x3=730
Divide the numbers
x3=730
Take the 3-th root on both sides of the equation
3x3=3730
Calculate
x=3730
Solution
More Steps

Evaluate
3730
To take a root of a fraction,take the root of the numerator and denominator separately
37330
Multiply by the Conjugate
37×372330×372
Simplify
37×372330×349
Multiply the numbers
More Steps

Evaluate
330×349
The product of roots with the same index is equal to the root of the product
330×49
Calculate the product
31470
37×37231470
Multiply the numbers
More Steps

Evaluate
37×372
The product of roots with the same index is equal to the root of the product
37×72
Calculate the product
373
Reduce the index of the radical and exponent with 3
7
731470
x=731470
Alternative Form
x≈1.624331
Show Solution
