Question
Solve the equation
x1=−5510000,x2=5510000
Alternative Form
x1≈−1.261915,x2≈1.261915
Evaluate
5x5=16
Divide both sides
55x5=516
Divide the numbers
x5=516
Separate the equation into 2 possible cases
x5=516x5=−516
Solve the equation for x
More Steps

Evaluate
x5=516
Take the 5-th root on both sides of the equation
5x5=5516
Calculate
x=5516
Simplify the root
More Steps

Evaluate
5516
To take a root of a fraction,take the root of the numerator and denominator separately
55516
Multiply by the Conjugate
55×554516×554
Simplify
55×554516×5625
Multiply the numbers
55×554510000
Multiply the numbers
5510000
x=5510000
x=5510000x5=−516
Solve the equation for x
More Steps

Evaluate
x5=−516
Take the 5-th root on both sides of the equation
5x5=5−516
Calculate
x=5−516
Simplify the root
More Steps

Evaluate
5−516
An odd root of a negative radicand is always a negative
−5516
To take a root of a fraction,take the root of the numerator and denominator separately
−55516
Multiply by the Conjugate
55×554−516×554
Simplify
55×554−516×5625
Multiply the numbers
55×554−510000
Multiply the numbers
5−510000
Calculate
−5510000
x=−5510000
x=5510000x=−5510000
Solution
x1=−5510000,x2=5510000
Alternative Form
x1≈−1.261915,x2≈1.261915
Show Solution
