Question
Solve the equation
x1=−261056,x2=261056
Alternative Form
x1≈−1.595563,x2≈1.595563
Evaluate
33=x×2x5
Multiply the terms
More Steps

Evaluate
x×2x5
Use the commutative property to reorder the terms
2x×x5
Multiply the terms
More Steps

Evaluate
x×x5
Use the product rule an×am=an+m to simplify the expression
x1+5
Add the numbers
x6
2x6
33=2x6
Swap the sides of the equation
2x6=33
Divide both sides
22x6=233
Divide the numbers
x6=233
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±6233
Simplify the expression
More Steps

Evaluate
6233
To take a root of a fraction,take the root of the numerator and denominator separately
62633
Multiply by the Conjugate
62×625633×625
Simplify
62×625633×632
Multiply the numbers
More Steps

Evaluate
633×632
The product of roots with the same index is equal to the root of the product
633×32
Calculate the product
61056
62×62561056
Multiply the numbers
More Steps

Evaluate
62×625
The product of roots with the same index is equal to the root of the product
62×25
Calculate the product
626
Reduce the index of the radical and exponent with 6
2
261056
x=±261056
Separate the equation into 2 possible cases
x=261056x=−261056
Solution
x1=−261056,x2=261056
Alternative Form
x1≈−1.595563,x2≈1.595563
Show Solution
