Question
Solve the equation
x=−26330420
Alternative Form
x≈−1.200641
Evaluate
x2×26x=−45
Multiply
More Steps

Evaluate
x2×26x
Multiply the terms with the same base by adding their exponents
x2+1×26
Add the numbers
x3×26
Use the commutative property to reorder the terms
26x3
26x3=−45
Divide both sides
2626x3=26−45
Divide the numbers
x3=26−45
Use b−a=−ba=−ba to rewrite the fraction
x3=−2645
Take the 3-th root on both sides of the equation
3x3=3−2645
Calculate
x=3−2645
Solution
More Steps

Evaluate
3−2645
An odd root of a negative radicand is always a negative
−32645
To take a root of a fraction,take the root of the numerator and denominator separately
−326345
Multiply by the Conjugate
326×3262−345×3262
Simplify
326×3262−345×3676
Multiply the numbers
More Steps

Evaluate
−345×3676
The product of roots with the same index is equal to the root of the product
−345×676
Calculate the product
−330420
326×3262−330420
Multiply the numbers
More Steps

Evaluate
326×3262
The product of roots with the same index is equal to the root of the product
326×262
Calculate the product
3263
Reduce the index of the radical and exponent with 3
26
26−330420
Calculate
−26330420
x=−26330420
Alternative Form
x≈−1.200641
Show Solution
