Question
Solve the equation
Solve for x
x1=−5653125,x2=5653125
Alternative Form
x1≈−1.226252,x2≈1.226252
Evaluate
15x6=51
Divide both sides
1515x6=1551
Divide the numbers
x6=1551
Cancel out the common factor 3
x6=517
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±6517
Simplify the expression
More Steps

Evaluate
6517
To take a root of a fraction,take the root of the numerator and denominator separately
65617
Multiply by the Conjugate
65×655617×655
Simplify
65×655617×63125
Multiply the numbers
More Steps

Evaluate
617×63125
The product of roots with the same index is equal to the root of the product
617×3125
Calculate the product
653125
65×655653125
Multiply the numbers
More Steps

Evaluate
65×655
The product of roots with the same index is equal to the root of the product
65×55
Calculate the product
656
Reduce the index of the radical and exponent with 6
5
5653125
x=±5653125
Separate the equation into 2 possible cases
x=5653125x=−5653125
Solution
x1=−5653125,x2=5653125
Alternative Form
x1≈−1.226252,x2≈1.226252
Show Solution