Question
Solve the equation
x=1331014
Alternative Form
x≈0.772804
Evaluate
4x×13x2=24
Multiply
More Steps

Evaluate
4x×13x2
Multiply the terms
52x×x2
Multiply the terms with the same base by adding their exponents
52x1+2
Add the numbers
52x3
52x3=24
Divide both sides
5252x3=5224
Divide the numbers
x3=5224
Cancel out the common factor 4
x3=136
Take the 3-th root on both sides of the equation
3x3=3136
Calculate
x=3136
Solution
More Steps

Evaluate
3136
To take a root of a fraction,take the root of the numerator and denominator separately
31336
Multiply by the Conjugate
313×313236×3132
Simplify
313×313236×3169
Multiply the numbers
More Steps

Evaluate
36×3169
The product of roots with the same index is equal to the root of the product
36×169
Calculate the product
31014
313×313231014
Multiply the numbers
More Steps

Evaluate
313×3132
The product of roots with the same index is equal to the root of the product
313×132
Calculate the product
3133
Reduce the index of the radical and exponent with 3
13
1331014
x=1331014
Alternative Form
x≈0.772804
Show Solution
