Question

3. The sum of the roots of a quadratic equation are -15 and their product is 72
i) Frame the quadratic equation
ii) Find the nature of the roots of the equation .
​

Answer 1

i)

p(x) = x^2 - (sum of roots)x + (product of roots)

∴ p(x) = x^2 + 15x + 72

ii)

D = b^2 - 4ac
∴ D = 225 - 288

As the discriminant is negative, the roots of the equation will be imaginary