Plzz solve this question from lesson number 2. Quadratic equation

let roots be a and b
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
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