Question

The values of k so that the equations 2x^2 + kx - 5 = 0 and x^2 - 3x - 4 = 0 have one root in common are

A)3,27/2

B)9,27/4

C)-3,-27/4

D)-3,4/27​

Answer 1

Answer:

Step-by-step explanation:

2x^2+kx-5=0.........(1)

x^2-3x-4=0..........(2)

solving equation 2

x^2-3x+x-4=0;

(x+1)(x-4)=0;

x=-1;x=4;

put x value in first equation

x=-1;

2-k-5=0;

k=-3;

x=4;

32+4k-5=0

k=-27/4