Question
Solve the equation
x=−1136292
Alternative Form
x≈−1.678302
Evaluate
11x3=−52
Divide both sides
1111x3=11−52
Divide the numbers
x3=11−52
Use b−a=−ba=−ba to rewrite the fraction
x3=−1152
Take the 3-th root on both sides of the equation
3x3=3−1152
Calculate
x=3−1152
Solution
More Steps

Evaluate
3−1152
An odd root of a negative radicand is always a negative
−31152
To take a root of a fraction,take the root of the numerator and denominator separately
−311352
Multiply by the Conjugate
311×3112−352×3112
Simplify
311×3112−352×3121
Multiply the numbers
More Steps

Evaluate
−352×3121
The product of roots with the same index is equal to the root of the product
−352×121
Calculate the product
−36292
311×3112−36292
Multiply the numbers
More Steps

Evaluate
311×3112
The product of roots with the same index is equal to the root of the product
311×112
Calculate the product
3113
Reduce the index of the radical and exponent with 3
11
11−36292
Calculate
−1136292
x=−1136292
Alternative Form
x≈−1.678302
Show Solution
