Question

Form a quadratic equation whose roots are 2.5 + √3 and 2.5 - √3 giving your answer in the form ax²+bx+c=0 where a, b and c are integers

Answer 1

x = 2.5 + √3 , x = 2.5 - √3
(x - 2.5 - √3)(x - 2.5 + √3) = 0
x2 - 2.5x +x√3 - 2.5x + 6.25 - 2.5√3 - x√3 + 2.5√3 -3 =0
= 4x² - 20x + 13 = 0