Question

Quadratic equations with roots 3 and 4

Answer 1

$\huge{\mathcal{\blue{\underline{Answer}}}}$

let x be the roots of the quadratic equation :

$x = \sqrt{3} \\ x - \sqrt{3} = 0....(1)$

$x = 4 \\ x - 4 = 0 ........(2)$

multiplying (1) and (2) we get

$(x - \sqrt{3} )(x - 4) = 0 \\ x {}^{2} - 4x - \sqrt{3} x + 4 \sqrt{3} = 0 \\ x {}^{2} - x(4 + \sqrt{3} ) + 4 \sqrt{3} = 0$