Question

If the root of quadratic equation are -2 and -3 from the equation

Answer 1

Step-by-step explanation:

$given \: roots \: are \: - 2 \: and \: - 3 \\ \: let \: \alpha = - 2 \: and \: \beta = - 3 \\ \: we \: know \: that \\ \: if \: \alpha \: and \: \beta \: are \: the \: roots \: then \: the \: quadratic \: equation \: is \: \\ \: {x}^{2} - ( \alpha + \beta )x + \alpha \beta = 0 \\ \: = > {x}^{2} - ( - 2 - 3)x + ( - 2)( - 3) = 0 \\ \: = > {x}^{2}- ( - 5)x + 6 = 0 \\ \: = > {x}^{2} + 5x + 6 = 0 \\ \: required \: quadratic \: equation \:is \: {x}^{2} + 5x + 6 = 0$

Answer 2

x²+5x+6 is the answer....