Question

The zeros of a quadratic polynomial f(x)= x - 7x+kare
quadratic polynomial f(x) = x? – 7x+k are a and B such that a - B = 3. Find the
value of k.​

Answer 1

Answer: 10

Step-by-step explanation:

Sum of zeroes = -b/a

= 7

a+B =7

a-B= 3

= a= 5 and B = 2

Product of zeroes = c/ a

= K

aB = k

5×2 = k

K= 10

Hope it helps .....

Answer 2

Answer:

$\large\boxed{\sf{k=10}}$

Step-by-step explanation:

Given quadratic Polynomial

$f(x) = {x}^{2} - 7x + k$

Zeroes are "a" and "B"

Also, a - B = 3 ...........(1)

We know that, sum of zeroes = -b/a

Therefore, we get

=> a + B = -(-7)/1 = 7 .........(2)

From (1) and (2) , we get

=> 2a = 10

=> a = 5

.°. B = 2

Now, product of roots = c/a

=> k/1 = 5 × 2

=> k = 10

Hence, value of k = 10