Question
Solve the equation
x1=−36243,x2=36243
Alternative Form
x1≈−0.832683,x2≈0.832683
Evaluate
6x5×x=2
Multiply
More Steps

Evaluate
6x5×x
Multiply the terms with the same base by adding their exponents
6x5+1
Add the numbers
6x6
6x6=2
Divide both sides
66x6=62
Divide the numbers
x6=62
Cancel out the common factor 2
x6=31
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±631
Simplify the expression
More Steps

Evaluate
631
To take a root of a fraction,take the root of the numerator and denominator separately
6361
Simplify the radical expression
631
Multiply by the Conjugate
63×635635
Simplify
63×6356243
Multiply the numbers
More Steps

Evaluate
63×635
The product of roots with the same index is equal to the root of the product
63×35
Calculate the product
636
Reduce the index of the radical and exponent with 6
3
36243
x=±36243
Separate the equation into 2 possible cases
x=36243x=−36243
Solution
x1=−36243,x2=36243
Alternative Form
x1≈−0.832683,x2≈0.832683
Show Solution
