Question
The ratio of roots of an equation ax²+bx+b
= 0 is p : q Then find, √p/√q + √q/√p + √p/√q ?Solution
ax²+bx+b = 0 α/β = p/q p+q = - b/a p×q = b/a ⇒ √p/√q + √q/√p + √p/√q ⇒ (p+q)/√pq + √b/√a ⇒ - √b/√(b/a) + √b/√q ⇒ - √b/√a + √b/√a = 0
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