Question

If 2 and 5 are the roots of the quadratic equation, then complete the following activity to form quadratic equation:

Activity:

Let α = 2 and β = 5 are the roots of the quadratic equation.

Then quadratic equation is:

x² − (α + β)x + αβ = 0

∴ `x^2 - (2 + square)x + square xx 5 = 0`

∴ `x^2 - square x + square = 0`

Answer 1

Let α = 2 and β = 5 are the roots of the quadratic equation.

Then quadratic equation is:

x² − (α + β)x + αβ = 0

∴ x² − (2 +\[\boxed{5}\])x + \[\boxed{2}\] × 5 = 0

∴ x² − \[\boxed{7}\]x + \[\boxed{10}\] = 0