#### Question

Write the quadratic equation whose roots are ‒2 and ‒3.

#### Solution

Let the roots be α = –2 and β = –3.

∴ α + β = (–2) + (–3) = –5 and αβ = (–2)(–3) = 6

Hence, the required quadratic equation is

x^{2} – (α + β)x + α β = 0

i.e. x^{2} – (–5)x + 6 = 0

i.e. x^{2} + 5x + 6 = 0

Is there an error in this question or solution?

Solution Write the quadratic equation whose roots are ‒2 and ‒3. Concept: Quadratic Equations.