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

Step-by-step 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

$\sqrt{b^2-4ac}>0$

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

$b^2>4ac$