Question
Solve the equation
x1=−2516,x2=2516
Alternative Form
x1≈−0.870551,x2≈0.870551
Evaluate
2x5=1
Divide both sides
22x5=21
Divide the numbers
x5=21
Separate the equation into 2 possible cases
x5=21x5=−21
Solve the equation for x
More Steps

Evaluate
x5=21
Take the 5-th root on both sides of the equation
5x5=521
Calculate
x=521
Simplify the root
More Steps

Evaluate
521
To take a root of a fraction,take the root of the numerator and denominator separately
5251
Simplify the radical expression
521
Multiply by the Conjugate
52×524524
Simplify
52×524516
Multiply the numbers
2516
x=2516
x=2516x5=−21
Solve the equation for x
More Steps

Evaluate
x5=−21
Take the 5-th root on both sides of the equation
5x5=5−21
Calculate
x=5−21
Simplify the root
More Steps

Evaluate
5−21
An odd root of a negative radicand is always a negative
−521
To take a root of a fraction,take the root of the numerator and denominator separately
−5251
Simplify the radical expression
−521
Multiply by the Conjugate
52×524−524
Simplify
52×524−516
Multiply the numbers
2−516
Calculate
−2516
x=−2516
x=2516x=−2516
Solution
x1=−2516,x2=2516
Alternative Form
x1≈−0.870551,x2≈0.870551
Show Solution
