Question

Is it possible that the quadratic equation ax²+bx+c=0 has a positive real solution if a,b and c are all negative real numbers?

Answer 1

Answer:yes

Explanation:

Given

`ax^2+bx+c=0`

a,b,c<0

For quadratic equation to have real roots Discriminant should be greater than zero

D>0

`√(b^2-4ac)>0`

Thus

`b^2-4ac>0`

b is negative so its square is positive

a & c is negative so their product is positive

so Discriminant is Positive when

`b^2>4ac`