Question
Solve the equation
x=15375
Alternative Form
x≈0.281144
Evaluate
9x2×5x=1
Multiply
More Steps

Evaluate
9x2×5x
Multiply the terms
45x2×x
Multiply the terms with the same base by adding their exponents
45x2+1
Add the numbers
45x3
45x3=1
Divide both sides
4545x3=451
Divide the numbers
x3=451
Take the 3-th root on both sides of the equation
3x3=3451
Calculate
x=3451
Solution
More Steps

Evaluate
3451
To take a root of a fraction,take the root of the numerator and denominator separately
34531
Simplify the radical expression
3451
Multiply by the Conjugate
345×34523452
Simplify
345×34523375
Multiply the numbers
More Steps

Evaluate
345×3452
The product of roots with the same index is equal to the root of the product
345×452
Calculate the product
3453
Reduce the index of the radical and exponent with 3
45
453375
Cancel out the common factor 3
15375
x=15375
Alternative Form
x≈0.281144
Show Solution
