if alpha and beta are zeroes of the quadratic polynomial x²-7x+a , find value of a when 3 alpha+4 beta=24

12

Hi Vikas dear, for the given polynomial sum of zeros = 7 and product of zeros = a
Given 3 m + 4 n = 24
Or 3(m+n) + n = 24
Or 3 * 7 + n = 24
==> n = 3
With n = 3 in  3m + 4n = 24 we get m = 4
Therefore a = m * n = 4 * 3 = 12
Our friend Bikeracer is absolutely correct but he has not given the steps
Any way let us clap for him.

Sorry for not giving the steps.. And thanks @Jeganathan for providing rhe same..!