Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
n2−45
Evaluate
n2−1−41
Solution
More Steps
Evaluate
−1−41
Reduce fractions to a common denominator
−44−41
Write all numerators above the common denominator
4−4−1
Subtract the numbers
4−5
Use b−a=−ba=−ba to rewrite the fraction
−45
n2−45
Show Solution
Factor the expression
41(4n2−5)
Evaluate
n2−1−41
Subtract the numbers
More Steps
Evaluate
−1−41
Reduce fractions to a common denominator
−44−41
Write all numerators above the common denominator
4−4−1
Subtract the numbers
4−5
Use b−a=−ba=−ba to rewrite the fraction
−45
n2−45
Solution
41(4n2−5)
Show Solution
Find the roots
n1=−25,n2=25
Alternative Form
n1≈−1.118034,n2≈1.118034
Evaluate
n2−1−41
To find the roots of the expression,set the expression equal to 0
n2−1−41=0
Subtract the numbers
More Steps
Simplify
n2−1−41
Subtract the numbers
More Steps
Evaluate
−1−41
Reduce fractions to a common denominator
−44−41
Write all numerators above the common denominator
4−4−1
Subtract the numbers
4−5
Use b−a=−ba=−ba to rewrite the fraction
−45
n2−45
n2−45=0
Move the constant to the right-hand side and change its sign
n2=0+45
Add the terms
n2=45
Take the root of both sides of the equation and remember to use both positive and negative roots
n=±45
Simplify the expression
More Steps
Evaluate
45
To take a root of a fraction,take the root of the numerator and denominator separately
45
Simplify the radical expression
More Steps
Evaluate
4
Write the number in exponential form with the base of 2
22
Reduce the index of the radical and exponent with 2
2
25
n=±25
Separate the equation into 2 possible cases
n=25n=−25
Solution
n1=−25,n2=25
Alternative Form
n1≈−1.118034,n2≈1.118034
Show Solution