Question
Simplify the expression
−8x6−9
Evaluate
x6−9x4×x2−9
Multiply
More Steps

Multiply the terms
−9x4×x2
Multiply the terms with the same base by adding their exponents
−9x4+2
Add the numbers
−9x6
x6−9x6−9
Solution
More Steps

Evaluate
x6−9x6
Collect like terms by calculating the sum or difference of their coefficients
(1−9)x6
Subtract the numbers
−8x6
−8x6−9
Show Solution

Find the roots
x1=−461944−4672i,x2=461944+4672i
Alternative Form
x1≈−0.883194−0.509912i,x2≈0.883194+0.509912i
Evaluate
x6−9x4×x2−9
To find the roots of the expression,set the expression equal to 0
x6−9x4×x2−9=0
Multiply
More Steps

Multiply the terms
9x4×x2
Multiply the terms with the same base by adding their exponents
9x4+2
Add the numbers
9x6
x6−9x6−9=0
Subtract the terms
More Steps

Simplify
x6−9x6
Collect like terms by calculating the sum or difference of their coefficients
(1−9)x6
Subtract the numbers
−8x6
−8x6−9=0
Move the constant to the right-hand side and change its sign
−8x6=0+9
Removing 0 doesn't change the value,so remove it from the expression
−8x6=9
Change the signs on both sides of the equation
8x6=−9
Divide both sides
88x6=8−9
Divide the numbers
x6=8−9
Use b−a=−ba=−ba to rewrite the fraction
x6=−89
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±6−89
Simplify the expression
More Steps

Evaluate
6−89
To take a root of a fraction,take the root of the numerator and denominator separately
686−9
Simplify the radical expression
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Evaluate
6−9
Rewrite the expression
33×(23+21i)
Apply the distributive property
33×23+33×21i
Multiply the numbers
26243+33×21i
Multiply the numbers
26243+233i
6826243+233i
Simplify the radical expression
More Steps

Evaluate
68
Write the number in exponential form with the base of 2
623
Reduce the index of the radical and exponent with 3
2
226243+233i
Simplify
226243+2233i
Rearrange the numbers
More Steps

Evaluate
226243
Multiply by the Conjugate
22×26243×2
Multiply the numbers
22×261944
Multiply the numbers
461944
461944+2233i
Rearrange the numbers
More Steps

Evaluate
2233
Multiply by the Conjugate
22×233×2
Multiply the numbers
22×2672
Multiply the numbers
4672
461944+4672i
x=±(461944+4672i)
Separate the equation into 2 possible cases
x=461944+4672ix=−461944−4672i
Solution
x1=−461944−4672i,x2=461944+4672i
Alternative Form
x1≈−0.883194−0.509912i,x2≈0.883194+0.509912i
Show Solution
