Question

if alpha beta are the zeros of the polynomial X square + 5 x + c and Alpha minus beta is equal to 3 then c is​

Answer 1

Step-by-step explanation:

Sum of zeroes = -b/a

=> alpha + beta = -5/1 = -5

and, alpha - beta = 5 (given)

Adding both the equations -

2 alpha = 0

=> alpha = 0

Hence one of the zero of the polynomial is 0

so, f(0) = (0)^2 + 5 (0) + c = 0

=> c = 0