Question

From the quadratic equation whose roots are -3 -7​

Answer 1

x² - (x* sum of roots) + product of roots =0

sum of roots = -3-7 = -10

product of roots = -3×-7 =21

equation is x²+10x+21 =0

Answer 2

Step-by-step explanation:

$let \: \alpha \: and \: \beta \: are \: two \: \\ roots \: of \: quadratic \: equation \\ then \\ \alpha = - 3 \: \: and \: \beta = - 7 \\ quadratic \: equation = {x}^{2} - ( \alpha + \beta )x + \alpha \beta \\ = {x}^{2} - (( - 3) + ( - 7))x + ( - 3) \times ( - 7) \\ = {x}^{2} - ( - 10)x + 21 \\ = {x}^{2} + 10x + 21$

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