Question

Form the quadratic equation if its roots are 5 and 7. 

Answer 1

Roots of a quadratic equation are 5 and  7.

Let  α = 5 and β = 7.

α + β = 5 +7 = 12 

αβ = 5 × 7 = 35 .

∴ The quadratic equation is given by . 

x² - (α+β ) x + α β = 0

∴ x² - 12x + 35 = 0