Question

2) Construct a quadratic equation with roots 7 and -3​

Answer 1

Answer:

given roots are 7 and -3.

Let α = 7 and β = -3.

α + β = 7 – 3 = 4.

αβ = (7)(-3) = -21.

The quadratic equation with roots α and β is x2 – (α + β) x + αβ = 0.

So the required quadratic equation is.

x2 – (4) x + (-21) = 0.

(i.e.,) x2 – 4x – 21 = 0.