Question
Solve the equation
x=−63612
Alternative Form
x≈−1.415031
Evaluate
x2×12x=−34
Multiply
More Steps

Evaluate
x2×12x
Multiply the terms with the same base by adding their exponents
x2+1×12
Add the numbers
x3×12
Use the commutative property to reorder the terms
12x3
12x3=−34
Divide both sides
1212x3=12−34
Divide the numbers
x3=12−34
Divide the numbers
More Steps

Evaluate
12−34
Cancel out the common factor 2
6−17
Use b−a=−ba=−ba to rewrite the fraction
−617
x3=−617
Take the 3-th root on both sides of the equation
3x3=3−617
Calculate
x=3−617
Solution
More Steps

Evaluate
3−617
An odd root of a negative radicand is always a negative
−3617
To take a root of a fraction,take the root of the numerator and denominator separately
−36317
Multiply by the Conjugate
36×362−317×362
Simplify
36×362−317×336
Multiply the numbers
More Steps

Evaluate
−317×336
The product of roots with the same index is equal to the root of the product
−317×36
Calculate the product
−3612
36×362−3612
Multiply the numbers
More Steps

Evaluate
36×362
The product of roots with the same index is equal to the root of the product
36×62
Calculate the product
363
Reduce the index of the radical and exponent with 3
6
6−3612
Calculate
−63612
x=−63612
Alternative Form
x≈−1.415031
Show Solution
