Question

Sum of roots = -7 and products of roots = 5, the quadratic equation so formed

Answer 1

Answer:

heya mate ☺

$formula \: for \: a \: quadratic \: equation \: is \\ given \: by \:$

$x ^{2} - ( \alpha + \beta )x + \alpha \beta = 0$

⭐ So putting back the value we get,

$x ^{2} - ( - 7)x + (5) = 0 \\ = > x ^{2} + 7x + 5 = 0$

hope it helps u mate :)

Answer 2

Given :

• Sum of roots = (-7)
• products of roots = 5

To Find :

• The Quadratic equation

Solution :

Let the roots be

$\alpha \: \: \: nd \: \: \: \beta$

So the quadratic equation would be,

${x}^{2} - ( \alpha + \beta )x + \alpha \beta = 0 \\ \\ = > {x}^{2} - ( - 7)x + 5 = 0 \\ \\ = > {x}^{2} + 7x + 5 = 0$

Thanks :)