Question
I. p2 - 19p + 88 = 0Â Â II.
q2 - 48q + 576 = 0 In each question two equations are provided. On the basis of these you have to find out the relation between p and q. Give answer.Solution
I. p2 - 19p + 88 = 0  (p - 11) (p - 8) = 0 p = 11 or 8  II. q2 - 48q + 576 = 0  (q – 24) (q – 24) = 0  q = 24 or 24  Hence, q > p  Alternate Method:  if signs of quadratic equation is -ve and +ve respectively then the roots of equation will be +ve and +ve. So, roots of first equation = p = 11, 8 So, roots of second equation = q = 24 After comparing roots of quadratic eqution we can conclude that p < q.
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