**Nature of Roots of Quadratic Equation:**

**CBSE Ncert Solutions Chapter 4 Quadratic Equations Exercise 4.4 Q4 Download this solution**

**4. Is the following situation possible? If so, determine their present ages. **

**The sum of the ages of two friends is 20 years. Four years ago, the product of their ages in years was 48.**

**Solution:**

Let age of first friend = years

Let age of second friend = () years

Four years ago, age of first friend = () years

Four years ago, age of second friend = = () years

**According to given condition, we have**

**Comparing equation**, **with general quadratic equation** ,** we get**

and .

**Discriminant is less than zero which means we have no real roots for this equation.**

**Therefore, the give situation is not possible.**