Hello, db5vry!

You had a right approach, but we want an. . .inequality

(a) A quadratic has two real roots if its discriminant is positive: .Given that the equation has real roots,

(a) show that:

(b) Find the range of values of satisfying this inequality.

. . So we have: .

. . Divide by -4: .

(b) We have: .

. . Factor: .

The product of two factors is negative if they have opposite signs.

So there are two cases:

Answer: .