Solve the equation. \frac{(n+6)}{27}=\frac{1}{n}

Caelan

Caelan

Answered question

2021-10-01

Solve the equation.
(n+6)27=1n

Answer & Explanation

tabuordy

tabuordy

Skilled2021-10-02Added 90 answers

Step 1
We have to solve the equation:
(n+6)27=1n
Rewriting the equation,
(n+6)27=1n
(n+6)27=1n
n(n+6)=27×1
n2+6n=27
n2+6n27=0
Step 2
Solving the equation by middle term splitting method,
n2+6n27=0
n2+9n3n27=0
n(n+9)3(n+9)=0
(n+9)(n3)=0
Either,
n+9=0
n=9
or,
n3=0
n=3
Hence, solutions of the equation are n=9,3.

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