Question
Simplify the expression
Solution
−5−235114x5
Evaluate
1−6−235114x5×1
Multiply the terms
1−6−235114x5
Solution
−5−235114x5
Show Solution
Find the roots
Find the roots of the algebra expression
x=−23511455×2351144
Alternative Form
x≈−0.116289
Evaluate
1−6−235114x5×1
To find the roots of the expression,set the expression equal to 0
1−6−235114x5×1=0
Multiply the terms
1−6−235114x5=0
Subtract the numbers
−5−235114x5=0
Move the constant to the right-hand side and change its sign
−235114x5=0+5
Removing 0 doesn't change the value,so remove it from the expression
−235114x5=5
Change the signs on both sides of the equation
235114x5=−5
Divide both sides
235114235114x5=235114−5
Divide the numbers
x5=235114−5
Use b−a=−ba=−ba to rewrite the fraction
x5=−2351145
Take the 5-th root on both sides of the equation
5x5=5−2351145
Calculate
x=5−2351145
Solution
More Steps
Evaluate
5−2351145
An odd root of a negative radicand is always a negative
−52351145
To take a root of a fraction,take the root of the numerator and denominator separately
−523511455
Rewrite the expression
5235114−55
Multiply by the Conjugate
5235114×52351144−55×52351144
The product of roots with the same index is equal to the root of the product
5235114×52351144−55×2351144
Multiply the numbers
More Steps
Evaluate
5235114×52351144
The product of roots with the same index is equal to the root of the product
5235114×2351144
Calculate the product
52351145
Reduce the index of the radical and exponent with 5
235114
235114−55×2351144
Calculate
−23511455×2351144
x=−23511455×2351144
Alternative Form
x≈−0.116289
Show Solution