Question
Solve the equation
x1=−65,x2=65
Alternative Form
x1≈−1.30766,x2≈1.30766
Evaluate
(x6)2=25
Simplify
More Steps

Evaluate
(x6)2
Multiply the exponents
x6×2
Multiply the numbers
x12
x12=25
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±1225
Simplify the expression
More Steps

Evaluate
1225
Write the number in exponential form with the base of 5
1252
Reduce the index of the radical and exponent with 2
65
x=±65
Separate the equation into 2 possible cases
x=65x=−65
Solution
x1=−65,x2=65
Alternative Form
x1≈−1.30766,x2≈1.30766
Show Solution
