Question

Write a quadratic equation in standard form with the given roots

Answer 1

${x}^{2} - \frac{15x}{2} + \frac{7}{2}$

Step-by-step explanation:

So we go backwards, since we have x= 1/2 , 7

$(x - \frac{1}{2} )(x - 7)$

Now we have to foil to get the quadratic

${x}^{2} - 7x - \frac{1}{2} x + \frac{7}{2}$

We must simplify the terms

${x}^{2} - \frac{14x}{2} - \frac{x}{2} + \frac{7}{2}$

Our final result comes out to be

${x}^{2} - \frac{15x}{2} + \frac{7}{2}$