Question
Solve the equation
x=531225
Alternative Form
x≈2.139975
Evaluate
(x2×5)x=49
Remove the parentheses
x2×5x=49
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
5x3=49
Divide both sides
55x3=549
Divide the numbers
x3=549
Take the 3-th root on both sides of the equation
3x3=3549
Calculate
x=3549
Solution
More Steps

Evaluate
3549
To take a root of a fraction,take the root of the numerator and denominator separately
35349
Multiply by the Conjugate
35×352349×352
Simplify
35×352349×325
Multiply the numbers
More Steps

Evaluate
349×325
The product of roots with the same index is equal to the root of the product
349×25
Calculate the product
31225
35×35231225
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
531225
x=531225
Alternative Form
x≈2.139975
Show Solution
