Question

The equation ax²+200x=c has two distnict roots.the sum of the roots -2 find the value of a.​

Answer 1

Answer:

Step-by-step explanation:

let two distinct roots be α,β

as per property of addition of roots for a quadratic equation

α+β= -200/a

-2=-200/a

a=100

Answer 2

Step-by-step explanation:

in a quadratic equation ax^2 + bx+c =0 if zeros are p and q then

p+q = -b/a

p*q = c/a

from the given equation a = a, b= 200 and sum of roots i.e p+q =-2

so -200/a= -2

a = 100.