Solve using quadratic formula:-
(1) $p^{2} c^{2} + (p^{2} - q^{2}) x - q^{2} = 0$

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Solution

$p^{2} c^{2} + (p^{2} - q^{2}) x - q^{2} = 0$

$(p^{2} - q^{2}) x = - c^{2} p^{2} + q^{2}$

$x = \frac{- c^{2} p^{2} + q^{2}}{p^{2} - q^{2}}$

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p^{2} x^{2} + (p^{2} - q^{2}) x - q^{2} = 0

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Using quadratic formula solve the following quadratic equation:

$p^{2} x^{2} + (p^{2} - q^{2}) x - q^{2} = 0, p \neq 0$

p^{2} x^{2} + (p^{2} - q^{2}) x - q^{2} = 0

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