Given: q2 4q2 #160;= #160; 3 On multiplying both sides by q2, we get: q2 ndash; 4 = ndash;3q2 #8658; #160; nbsp;4q2 ndash; 4 = 0 #8658; ...

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Quadratic Equations

q2-4q2 =-3

Question

$\frac{q^{2} - 4}{q^{2}} = - 3$

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Solution

Given: $\frac{q^{2} - 4}{q^{2}} = - 3$
On multiplying both sides by q², we get:
q² – 4 = –3q²
$\Rightarrow$ 4q² – 4 = 0
$\Rightarrow$ 4q² + 0q – 4 = 0
On comparing this equation with the general form of the quadratic equation aq² + bq + c = 0, we get:
a = 4, b = 0 and c = – 4, which are real numbers and a $\neq$ 0.
Thus, the given equation is a quadratic equation in the variable q.

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