Question

LIIUI 111 .
1. If a, b are zerUSU)
2. If the ratio between the zeros of polynomial lx+ nx +n is P: U then find the value
п
of
+
?
number is 9. Also, nine times this numbe​

Answer 1

2) Let pa and qa are the roots of the equation lx² + nx + n = 0

$\sf \small \: then \:( p \alpha) ( q \alpha ) = \frac{n}{1} = { \alpha }^{2} = \frac{n}{pql} \implies(1)$

Now since pa is root of the equation lx² + nx + n = 0

l(pa)² + n(pa) + n = 0

$\sf \small \: l {(p)}^{2} \frac{n}{pql} np \sqrt{ \frac{n}{lpq} } + n = 0$

$\sf \small \frac{p}{q} + \sqrt{ \frac{np}{lq} } + 1 = 0$

$\sf \small Now \ \: multiply \: both \: sides \: by \: \sqrt{ \frac{q}{p} }$

$\sf \small \sqrt{ \frac{p}{q} } + \sqrt{ \frac{q}{p} } + \sqrt{ \frac{n}{1} } = 0$

$\sf \small Hence \: the \: answer \: is \: \boxed{ \sf \sqrt{ \frac{p}{q} } + \sqrt{ \frac{q}{p} } + \sqrt{ \frac{n}{1} } = 0}$

Answer 2

Step-by-step explanation:

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