Question

If -5 is the root of the quadratic equation 2x²+px-15=0 and p[x²+x]+k=0 has equal roots then find 'k'​

Answer 1

Answer:

- 140

Step-by-step explanation:

Given that -5 is a root

Therefore,

2(-5)^2+p(-5)-15=0

50-5p-15=0

-5p=-35

p=7

Putting the value of p=7

and x=-5 as the root because it is given that the equation has equal roots.

7(25-5)+k=0

140+k=0

k= -140 (Answer)