IIT JEE , AIEEE Forum - Mathematics , Algebra

gr8kartekay

If the roots of the equation

p(q-r)x²+q(r-p)x+r(p-q) are equal, prove that

p+r/pq=2/q

vish0001

dude just put the discriminant as 0 !

edison

Exactly for roots of a quadtratic equation to be equal D = discriminant = 0

Here equation is p(q-r)x²+q(r-p)x+r(p-q) = 0

so D = b²- 4ac = 0 .....(1)

where b = q(r-p)

a = p(q-r)

and c = r(p-q)

substitute the values of a, b, and c in equation (1) and simplify the equation to obtain the desired result.