Solve the equation. \sqrt{(n^{2}-4n-4)}=n

bobbie71G

bobbie71G

Answered question

2021-09-29

Solve the equation.
(n24n4)=n

Answer & Explanation

Adnaan Franks

Adnaan Franks

Skilled2021-09-30Added 92 answers

Step 1
To solve the equation (n24n4)=n, take square on both sides of the equation to remove square root.
(n24n4)=n
[(n24n4)]2=n2
(n24n4)=n2
n24n4=n2...(1)
Step 2
Subtract n2 on both sides of the equation and simplify to get zero on the right hand side of equation (1).
n24n4=n2
n24n4n2=n2n2
n2n24n4=0
0-4n-4=0
-4n-4=0...(2)
Step 3
Add 4 on both sides of equation (2) to isolate variable term.
-4n-4=0
-4n-4+4=0+4
-4n=4...(3)
Step 4
Divide by -4 on both sides of equation (3) to isolate variable n and get the value of n.
-4n=4
4n4=44
n=-1
Therefore the solution of the equation is n=−1.

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