Q5 of 47 Page 1

Find the value of p, for which one root of the quadratic equation px2 -14x + 8 = 0 is 6 times the other.

Let the two roots be 'm' and 'n'


We know, that for a quadratic equation ax2 + bx + c


sum of roots



In this equation,


a = p


b = -14


c = 8


Given, one root is 6 times the other, such that m = 6n




[1]


Also


Product of roots = c/a





[From 1]



⇒ p = 3


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