Question

if(-5,2) are the root of quadratic equation then form its equation​

Answer 1

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

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

We know that,

$\alpha = - 5$

and

$\beta = 2$

Hence, sum of the roots =

alpha + beta = -3 = -b/a

Product of the roots = -10 = c/a

Hence ,

a= 1 , b = -3 c = - 10

The equation is

${x}^{2} - 3x \: - 10$

Answer 2

$\alpha = - 5 \\ \beta = 2$

reqd. quadratic equation is

${x}^{2} - | \alpha + \beta |x + \alpha \beta \\ {x}^{2} - | - 5 + 2| x + - 5 \times 2 \\ {x}^{2} + 3x - 10$

PLZ MARK AS BRAINLIST