Question

Solve for n:-

$3{n}^{2} - 51n + 156 = 0$
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Answer 1

Step-by-step explanation:

its yur solution dear.....

Answer 2

Question:-

Solve for n:-

$3{n}^{2} - 51n + 156 = 0$

${\blue{\underline{\underline{\bold{Answer:-}}}}}$

$3 {n}^{2} - 51n + 156 = 0$

Dividing the whole equation by 3

$\frac{3 {n}^{2} }{3} - \frac{51n}{3} + \frac{156}{3} = 0 \\ \\ {n}^{2} - 17n + 52 = 0$

By splitting the middle term

${n}^{2} - 13n - 4n + 52 = 0 \\ \\ = n(n - 13) - 4(n - 13) = 0 \\ \\ = > (n - 13)(n - 4) = 0 \\ \\ n - 13 = 0 \: (or) \: \: (n - 4) = 0 \\ \\ n = 13 \: \: (or) \: \: n = 4$