Question

If 2 is a root of the quadratic equation 3r + pr - 8 = 0 and the quadratic equation
47-2pr+k=0 has real and equal roots, find k.​

Answer 1

Answer:

-43

Step-by-step explanation:

2 is the root

putting r=2

3*2 + p*2 -8 = 0

6 + 2p - 8 = 0

2p -2 = 0

p = 2/2 = 1

47 - 2pr + k = 0

47 - 2*1*2 +k =0

47 - 4 + k = 0

k = -43