Question

Quadratic equation whose roots are 20 and 7

Answer 1

Answer:

x² - 27x + 140 = 0

Step-by-step explanation:

Let α and β be the roots of the quadratic equation.

The quadratic equation will be of form

x² - (α + β)x + αβ = 0

Given, α = 20 ; β = 7

Sum of roots = α + β = 20 + 7 = 27

Product of roots = αβ = 20 * 7 = 140

Hence the quadratic equation becomes x² - 27x + 140 = 0