Question
Solve the equation
x1=−11683×115,x2=11683×115
Alternative Form
x1≈−1.400493,x2≈1.400493
Evaluate
11x6=83
Divide both sides
1111x6=1183
Divide the numbers
x6=1183
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±61183
Simplify the expression
More Steps

Evaluate
61183
To take a root of a fraction,take the root of the numerator and denominator separately
611683
Multiply by the Conjugate
611×6115683×6115
The product of roots with the same index is equal to the root of the product
611×6115683×115
Multiply the numbers
More Steps

Evaluate
611×6115
The product of roots with the same index is equal to the root of the product
611×115
Calculate the product
6116
Reduce the index of the radical and exponent with 6
11
11683×115
x=±11683×115
Separate the equation into 2 possible cases
x=11683×115x=−11683×115
Solution
x1=−11683×115,x2=11683×115
Alternative Form
x1≈−1.400493,x2≈1.400493
Show Solution
