# Plzz solve this question from lesson number 2. Quadratic equation

a + b = 5

a^3 + b^3 = 35

(a^3 + b^3)

= (a +b)(a^2 +b^2 -ab )

= (a+b)( (a + b)^2 - 3ab ) = 35

=(5)( 5^2 - 3ab) = 35

=(5)(25 - 3ab) = 35

25 - 3ab = = 7

3ab = 25 - 7 = 18

ab = 6

thus the equation is

x^2 - (a+b)x + ab

x^2 - (5)x + 6 =0