Question
Solve the equation
x=−18517×184
Alternative Form
x≈−0.988633
Evaluate
17=−3x5×6
Multiply the terms
17=−18x5
Swap the sides of the equation
−18x5=17
Change the signs on both sides of the equation
18x5=−17
Divide both sides
1818x5=18−17
Divide the numbers
x5=18−17
Use b−a=−ba=−ba to rewrite the fraction
x5=−1817
Take the 5-th root on both sides of the equation
5x5=5−1817
Calculate
x=5−1817
Solution
More Steps

Evaluate
5−1817
An odd root of a negative radicand is always a negative
−51817
To take a root of a fraction,take the root of the numerator and denominator separately
−518517
Multiply by the Conjugate
518×5184−517×5184
The product of roots with the same index is equal to the root of the product
518×5184−517×184
Multiply the numbers
More Steps

Evaluate
518×5184
The product of roots with the same index is equal to the root of the product
518×184
Calculate the product
5185
Reduce the index of the radical and exponent with 5
18
18−517×184
Calculate
−18517×184
x=−18517×184
Alternative Form
x≈−0.988633
Show Solution
