Question
Solve the equation
x=−35567
Alternative Form
x≈−1.184664
Evaluate
−6x5=14
Change the signs on both sides of the equation
6x5=−14
Divide both sides
66x5=6−14
Divide the numbers
x5=6−14
Divide the numbers
More Steps

Evaluate
6−14
Cancel out the common factor 2
3−7
Use b−a=−ba=−ba to rewrite the fraction
−37
x5=−37
Take the 5-th root on both sides of the equation
5x5=5−37
Calculate
x=5−37
Solution
More Steps

Evaluate
5−37
An odd root of a negative radicand is always a negative
−537
To take a root of a fraction,take the root of the numerator and denominator separately
−5357
Multiply by the Conjugate
53×534−57×534
Simplify
53×534−57×581
Multiply the numbers
More Steps

Evaluate
−57×581
The product of roots with the same index is equal to the root of the product
−57×81
Calculate the product
−5567
53×534−5567
Multiply the numbers
More Steps

Evaluate
53×534
The product of roots with the same index is equal to the root of the product
53×34
Calculate the product
535
Reduce the index of the radical and exponent with 5
3
3−5567
Calculate
−35567
x=−35567
Alternative Form
x≈−1.184664
Show Solution
