is zeros alpha and beta of a polynomial x square - 7 x + K such that Alpha minus beta is equals to 1 then find the value of k
Answers
Answered by
6
K is 12.
From the given quadratic equation, we can see that alpha + beta = 7. alpha - beta = 1 is given.
Let me use alpha as a and beta as b.
(a+b)^2 -4ab = (a-b)^2.
Substituting a+b = 7, a-b = 1, we get
4ab = 48
ab = 12.
Therefore we can clearly see that k = 12
Similar questions