Question
Solve the equation
x=103900
Alternative Form
x≈0.965489
Evaluate
2x2×5x=9
Multiply
More Steps

Evaluate
2x2×5x
Multiply the terms
10x2×x
Multiply the terms with the same base by adding their exponents
10x2+1
Add the numbers
10x3
10x3=9
Divide both sides
1010x3=109
Divide the numbers
x3=109
Take the 3-th root on both sides of the equation
3x3=3109
Calculate
x=3109
Solution
More Steps

Evaluate
3109
To take a root of a fraction,take the root of the numerator and denominator separately
31039
Multiply by the Conjugate
310×310239×3102
Simplify
310×310239×3100
Multiply the numbers
More Steps

Evaluate
39×3100
The product of roots with the same index is equal to the root of the product
39×100
Calculate the product
3900
310×31023900
Multiply the numbers
More Steps

Evaluate
310×3102
The product of roots with the same index is equal to the root of the product
310×102
Calculate the product
3103
Reduce the index of the radical and exponent with 3
10
103900
x=103900
Alternative Form
x≈0.965489
Show Solution
