Given: m2 #160;+ #160;5m2 #160;= #160; 3 On multiplying both sides by m2, we get: m2m2+5m2=m2 3 #8658;m2+5= 3m2 nbsp;Transposing nbsp;the nb ...

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Solving a Quadratic Equation by Factorization Method

m 2+5 m 2=-3

Question

$\frac{m^{2} + 5}{m^{2}} = - 3$

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Solution

Given: $\frac{m^{2} + 5}{m^{2}} = - 3$

On multiplying both sides by m², we get:

$m^{2} (\frac{m^{2} + 5}{m^{2}}) = m^{2} (- 3) \Rightarrow m^{2} + 5 = - 3 m^{2}$

Transposing the terms of the right-hand side to the left-hand side, we get:

m² + 5 + 3m² = 0

⇒ 4m² + 5 = 0

⇒ 4m² + 0m + 5 = 0

Thus, the standard form of the given quadratic equation is m² + 0m + 5 = 0.

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