Question
Solve the equation
x=−213147
Alternative Form
x≈−0.251316
Evaluate
x2×7x×9=−1
Multiply
More Steps

Evaluate
x2×7x×9
Multiply the terms with the same base by adding their exponents
x2+1×7×9
Add the numbers
x3×7×9
Multiply the terms
x3×63
Use the commutative property to reorder the terms
63x3
63x3=−1
Divide both sides
6363x3=63−1
Divide the numbers
x3=63−1
Use b−a=−ba=−ba to rewrite the fraction
x3=−631
Take the 3-th root on both sides of the equation
3x3=3−631
Calculate
x=3−631
Solution
More Steps

Evaluate
3−631
An odd root of a negative radicand is always a negative
−3631
To take a root of a fraction,take the root of the numerator and denominator separately
−36331
Simplify the radical expression
−3631
Multiply by the Conjugate
363×3632−3632
Simplify
363×3632−33147
Multiply the numbers
More Steps

Evaluate
363×3632
The product of roots with the same index is equal to the root of the product
363×632
Calculate the product
3633
Reduce the index of the radical and exponent with 3
63
63−33147
Cancel out the common factor 3
21−3147
Calculate
−213147
x=−213147
Alternative Form
x≈−0.251316
Show Solution
