The ratio of the roots of the equation x^2- px+q=0 is 2:3, then prove that 6p^2=25 q.
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Step-by-step explanation:
a b be the roots of eqn
a: b = 2:3 i.e a/ b = 2/3
a= 2b /3
a+b= p
5b/3 = p
b = 3p/5
a*b = q
2b²/3= q
2(3p/5)² = 3q
6p²= 25 q (proved)
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