Question
Solve the equation
x1=−2548,x2=2548
Alternative Form
x1≈−1.084472,x2≈1.084472
Evaluate
23x5×1=9
Multiply the terms
23x5=9
Divide both sides
223x5=29
Divide the numbers
3x5=29
Separate the equation into 2 possible cases
3x5=293x5=−29
Solve the equation for x
More Steps

Evaluate
3x5=29
Multiply by the reciprocal
3x5×31=29×31
Multiply
x5=29×31
Multiply
More Steps

Evaluate
29×31
Reduce the numbers
23×1
Multiply the numbers
23
x5=23
Take the 5-th root on both sides of the equation
5x5=523
Calculate
x=523
Simplify the root
More Steps

Evaluate
523
To take a root of a fraction,take the root of the numerator and denominator separately
5253
Multiply by the Conjugate
52×52453×524
Simplify
52×52453×516
Multiply the numbers
52×524548
Multiply the numbers
2548
x=2548
x=25483x5=−29
Solve the equation for x
More Steps

Evaluate
3x5=−29
Multiply by the reciprocal
3x5×31=−29×31
Multiply
x5=−29×31
Multiply
More Steps

Evaluate
−29×31
Reduce the numbers
−23×1
Multiply the numbers
−23
x5=−23
Take the 5-th root on both sides of the equation
5x5=5−23
Calculate
x=5−23
Simplify the root
More Steps

Evaluate
5−23
An odd root of a negative radicand is always a negative
−523
To take a root of a fraction,take the root of the numerator and denominator separately
−5253
Multiply by the Conjugate
52×524−53×524
Simplify
52×524−53×516
Multiply the numbers
52×524−548
Multiply the numbers
2−548
Calculate
−2548
x=−2548
x=2548x=−2548
Solution
x1=−2548,x2=2548
Alternative Form
x1≈−1.084472,x2≈1.084472
Show Solution
