Question

Find the quadratic equation whose roots are "-2" and 7

Answer 1

Answer:

$x^2 -5x-14=0$

Step-by-step explanation:

$\text{Given that, the roots are}~ \alpha = -2~ \text{and}~ \beta = 7.\\\\\text{The quadratic equation with roots}~ \alpha~ \text{and}~ \beta ~ \text{is,} \\\\~~~~~~~x^2 - \left(\alpha + \beta \right)x + \alpha \beta =0 \\\\\implies x^2 -(-2+7)x + (-2)(7) = 0\\\\\implies x^2 -5x-14=0$

Answer 2

Answer:

Step-by-step explanation:

the quadratic equation is:

(x + 2)(x - 7)= 0

x^2 - 7x + 2x - 14

x^2 - 5x - 14

y = x^2 - 5x - 14