Question

if p q and when p = q then q = 18, now if p = 4 then the value of q is?​

Answer 1

Answer:

Answer

If p+q and pq are known then quadratic equation corresponding to roots as p and q is given by,x 2 −(p+q)x+pq=0

⇒x 2−11x+18=0, substitute the given values

⇒x 2 −9x−2x+18=0, split the middle term

⇒(x 2 −9x)+(−2x+18)=0, group pair of terms

⇒x(x−9)−2(x−9)=0, factor each binomials

⇒(x−9)(x−2)=0, factor out common factor

⇒x=9 or x=2, set each factor to 0