Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
n6+2n+n2
Evaluate
n6−2+n+4
Add the numbers
n6+2+n
Reduce fractions to a common denominator
n6+n2n+nn×n
Write all numerators above the common denominator
n6+2n+n×n
Solution
n6+2n+n2
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Find the excluded values
n=0
Evaluate
n6−2+n+4
Solution
n=0
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Find the roots
n∈/R
Evaluate
n6−2+n+4
To find the roots of the expression,set the expression equal to 0
n6−2+n+4=0
Find the domain
n6−2+n+4=0,n=0
Calculate
n6−2+n+4=0
Subtract the terms
More Steps
Simplify
n6−2
Reduce fractions to a common denominator
n6−n2n
Write all numerators above the common denominator
n6−2n
n6−2n+n+4=0
Add the terms
More Steps
Evaluate
n6−2n+n+4
Reduce fractions to a common denominator
n6−2n+nn×n+n4n
Write all numerators above the common denominator
n6−2n+n×n+4n
Multiply the terms
n6−2n+n2+4n
Add the terms
More Steps
Evaluate
−2n+4n
Collect like terms by calculating the sum or difference of their coefficients
(−2+4)n
Add the numbers
2n
n6+2n+n2
n6+2n+n2=0
Cross multiply
6+2n+n2=n×0
Simplify the equation
6+2n+n2=0
Rewrite in standard form
n2+2n+6=0
Substitute a=1,b=2 and c=6 into the quadratic formula n=2a−b±b2−4ac
n=2−2±22−4×6
Simplify the expression
More Steps
Evaluate
22−4×6
Multiply the numbers
22−24
Evaluate the power
4−24
Subtract the numbers
−20
n=2−2±−20
Solution
n∈/R
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