Question

find the valu of x
p²x²+(p²-q²)x-q²=0​

Answer 1

Question —

find the valu of x

find the valu of xp²x²+(p²-q²)x-q²=0

Answer -

$=>by \: using \: quadratic \: formula \\ \\ →{p}^{2} {x}^{2} + ( {p}^{2} - {q}^{2} )x - {q}^{2} = 0$

$→{p}^{2} {x}^{2} + {p}^{2} x - {q}^{2} x - {q}^{2} = 0$

$→{p}^{2} x(x + 1) - {q}^{2} (x + 1) = 0$

$→(x + 1) \: ( {p}^{2} x - {q}^{2} ) = 0$

$→x + 1 = 0 \: \: \: \: \: or \: \: \: {p}^{2} x - {q}^{2} = 0$

$→x = - 1 \: \: \: \: \: \: or \: \: \: \: \: {p}^{2} x = {q}^{2}$

$→x = - 1 \: \: or \: \: x = \frac{ {q}^{2} }{ {p}^{2} } = \frac{q}{p}$

Hope it helps uh!

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