Question
Solve the equation
x1=−2632,x2=2632
Alternative Form
x1≈−0.890899,x2≈0.890899
Evaluate
x×12x2×3x3=18
Multiply
More Steps

Evaluate
x×12x2×3x3
Multiply the terms with the same base by adding their exponents
x1+2+3×12×3
Add the numbers
x6×12×3
Multiply the terms
x6×36
Use the commutative property to reorder the terms
36x6
36x6=18
Divide both sides
3636x6=3618
Divide the numbers
x6=3618
Cancel out the common factor 18
x6=21
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±621
Simplify the expression
More Steps

Evaluate
621
To take a root of a fraction,take the root of the numerator and denominator separately
6261
Simplify the radical expression
621
Multiply by the Conjugate
62×625625
Simplify
62×625632
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
2632
x=±2632
Separate the equation into 2 possible cases
x=2632x=−2632
Solution
x1=−2632,x2=2632
Alternative Form
x1≈−0.890899,x2≈0.890899
Show Solution
