Question
Solve the equation
x1=−6624624,x2=6624624
Alternative Form
x1≈−0.898963,x2≈0.898963
Evaluate
x×12x2×3x3=19
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=19
Divide both sides
3636x6=3619
Divide the numbers
x6=3619
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±63619
Simplify the expression
More Steps

Evaluate
63619
To take a root of a fraction,take the root of the numerator and denominator separately
636619
Simplify the radical expression
36619
Multiply by the Conjugate
36×362619×362
Simplify
36×362619×336
Multiply the numbers
More Steps

Evaluate
619×336
Use na=mnam to expand the expression
619×6362
The product of roots with the same index is equal to the root of the product
619×362
Calculate the product
624624
36×362624624
Multiply the numbers
More Steps

Evaluate
36×362
The product of roots with the same index is equal to the root of the product
36×62
Calculate the product
363
Reduce the index of the radical and exponent with 3
6
6624624
x=±6624624
Separate the equation into 2 possible cases
x=6624624x=−6624624
Solution
x1=−6624624,x2=6624624
Alternative Form
x1≈−0.898963,x2≈0.898963
Show Solution
