Question
Solve the equation
x=−2317
Alternative Form
x≈−1.285641
Evaluate
x2×8x=−17
Multiply
More Steps

Evaluate
x2×8x
Multiply the terms with the same base by adding their exponents
x2+1×8
Add the numbers
x3×8
Use the commutative property to reorder the terms
8x3
8x3=−17
Divide both sides
88x3=8−17
Divide the numbers
x3=8−17
Use b−a=−ba=−ba to rewrite the fraction
x3=−817
Take the 3-th root on both sides of the equation
3x3=3−817
Calculate
x=3−817
Solution
More Steps

Evaluate
3−817
An odd root of a negative radicand is always a negative
−3817
To take a root of a fraction,take the root of the numerator and denominator separately
−38317
Simplify the radical expression
More Steps

Evaluate
38
Write the number in exponential form with the base of 2
323
Reduce the index of the radical and exponent with 3
2
−2317
x=−2317
Alternative Form
x≈−1.285641
Show Solution
