Question
Solve the equation
x=5350
Alternative Form
x≈0.736806
Evaluate
5x2×9x=18
Multiply
More Steps

Evaluate
5x2×9x
Multiply the terms
45x2×x
Multiply the terms with the same base by adding their exponents
45x2+1
Add the numbers
45x3
45x3=18
Divide both sides
4545x3=4518
Divide the numbers
x3=4518
Cancel out the common factor 9
x3=52
Take the 3-th root on both sides of the equation
3x3=352
Calculate
x=352
Solution
More Steps

Evaluate
352
To take a root of a fraction,take the root of the numerator and denominator separately
3532
Multiply by the Conjugate
35×35232×352
Simplify
35×35232×325
Multiply the numbers
More Steps

Evaluate
32×325
The product of roots with the same index is equal to the root of the product
32×25
Calculate the product
350
35×352350
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
5350
x=5350
Alternative Form
x≈0.736806
Show Solution
