Solve the equation. n(3n-5)=2

Chardonnay Felix

Chardonnay Felix

Answered question

2021-09-19

Solve the equation. n(3n-5)=2

Answer & Explanation

Alannej

Alannej

Skilled2021-09-20Added 104 answers

Step 1
We have to solve the equation:
n(3n−5)=2
Rewriting the equation,
n(3n−5)=2
3n25n=2
3n25n2=0
Now solving this quadratic equation by factorization of middle term splitting method,
3n25n2=0
3n26n+n2=0
3n(n-2)+1(n-2)=0
(n-2)(3n+1)=0
Step 2
Therefore either,
n-2=0
n=2
or,
3n+1=0
3n=-1
n=13
Hence, solutions of the equation are n=13,2.

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