Question

Form a quadratic equation when sum of roots is
$\sqrt{5}$
and product of roots is
$\sqrt{7}$
​

Answer 1

Answer:

Let the quadratic equation be

$a {x}^{2} + bx + c = 0$

Let the roots of the quadratic equation be

$\alpha \: and \: \beta$

we know that

$\alpha + \beta = - \frac{b}{a}$

and

$\alpha \beta = \frac{c}{a}$