Question
Solve the equation
x1=−2336,x2=2336
Alternative Form
x1≈−1.650964,x2≈1.650964
Evaluate
6x3=27
Separate the equation into 2 possible cases
6x3=276x3=−27
Solve the equation for x
More Steps

Evaluate
6x3=27
Divide both sides
66x3=627
Divide the numbers
x3=627
Cancel out the common factor 3
x3=29
Take the 3-th root on both sides of the equation
3x3=329
Calculate
x=329
Simplify the root
More Steps

Evaluate
329
To take a root of a fraction,take the root of the numerator and denominator separately
3239
Multiply by the Conjugate
32×32239×322
Simplify
32×32239×34
Multiply the numbers
32×322336
Multiply the numbers
2336
x=2336
x=23366x3=−27
Solve the equation for x
More Steps

Evaluate
6x3=−27
Divide both sides
66x3=6−27
Divide the numbers
x3=6−27
Divide the numbers
More Steps

Evaluate
6−27
Cancel out the common factor 3
2−9
Use b−a=−ba=−ba to rewrite the fraction
−29
x3=−29
Take the 3-th root on both sides of the equation
3x3=3−29
Calculate
x=3−29
Simplify the root
More Steps

Evaluate
3−29
An odd root of a negative radicand is always a negative
−329
To take a root of a fraction,take the root of the numerator and denominator separately
−3239
Multiply by the Conjugate
32×322−39×322
Simplify
32×322−39×34
Multiply the numbers
32×322−336
Multiply the numbers
2−336
Calculate
−2336
x=−2336
x=2336x=−2336
Solution
x1=−2336,x2=2336
Alternative Form
x1≈−1.650964,x2≈1.650964
Show Solution
