Question

What are the roots of the quadratic equation x² + 10x + 9 = 0

Answer 1

Answer:

(x+9) (x+1)

Step-by-step explanation:

10x = (a+b)x

9 =ab

factors of 9 are 1,3,9

so we will get a = 9 and b= 1

the roots of equation is (x +9) (x+1)

Answer 2

$\alpha = \frac{ - 10 + \sqrt{ {10}^{2} - 4(1)(9) } }{2(1)}$

$\alpha = - 1$

$\beta = \frac{ - 10 - \sqrt{ {10}^{2} - 4(1)(9) } }{2(1)}$

$\beta = - 9$

$here \: \alpha \: and \: \beta \: is \: roots \: of \: equation$