please solve this question, the 5 question.please
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it's Avery hard questions
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given quadratic equation ax²+bx+c=0
let one root = p = sin α
second root = q = cos α
i) sum of the roots = -b/a
p+q = - b/a
sin α+cos α = -b/a ---(1)
ii) pq = c/a
sin α cosα = c/a---(2)
do the square of (1)
sin² α +cos² α + 2 sin αcosα = b²/a²
1+2(c/a) = b²/a² from sin²α+cos²α =1 and (2)
multiply each term with a²
a² +2ac = b²
hope this helps
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