Question

If α and β are the zeroes of the quadratic polynomial f(x) = x2

– 7x + k such that α-β =1, then the value

of k is :

Answer 1

nswer:

k = 12

Step-by-step explanation :

$\alpha + \beta$ =  - b/a

= -(-7)/1

= 7

$\alpha$ = 7 - $\beta$ ------ (1)

given :-

$\alpha - \beta = 1\\\alpha = 1 + \beta$ ------- (2)

from equation 1 and 2

$7- \beta = 1 +\beta \\7 - 1 = \beta + \beta \\2\beta = 6\\\beta = 6/2 = 3$

$\alpha = 1 + 3 = 4\\\alpha \beta = c/a \\4 * 3 = k \\ = k = 12$

Answer 2

Step-by-step explanation:

If and are the zeroes of the polynomial f(x)=

2

-5x+k such that - =1,

find the value of k