Question

If two roots of a qudratic equations are -2 and 3 , determine the quadratic equation?

Answer 1

Step-by-step explanation:

Answer 2

Answer:

we know that there are two root of quadratic equation. a and b

$let \: \alpha = - 2 \: and \: \beta = 3$

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

$\alpha + \beta = - 2 + 3 \\ = 1 \\ \\ \alpha . \beta = - 2.3 \\ - 6 \\ \\ quadratice \: equation = {x}^{2} - ( \alpha + \beta )x + \alpha . \beta \\ = {x}^{2} - x + - 6 \\ \\ hence = quadratic \: equation = {x - x - 6}^{2}$