Question
Solve the equation
x=−631116
Alternative Form
x≈−1.728768
Evaluate
x2×18x=−93
Multiply
More Steps

Evaluate
x2×18x
Multiply the terms with the same base by adding their exponents
x2+1×18
Add the numbers
x3×18
Use the commutative property to reorder the terms
18x3
18x3=−93
Divide both sides
1818x3=18−93
Divide the numbers
x3=18−93
Divide the numbers
More Steps

Evaluate
18−93
Cancel out the common factor 3
6−31
Use b−a=−ba=−ba to rewrite the fraction
−631
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
Multiply by the Conjugate
36×362−331×362
Simplify
36×362−331×336
Multiply the numbers
More Steps

Evaluate
−331×336
The product of roots with the same index is equal to the root of the product
−331×36
Calculate the product
−31116
36×362−31116
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
6−31116
Calculate
−631116
x=−631116
Alternative Form
x≈−1.728768
Show Solution
