Answer
$$0=x^2-7$$
Work Step by Step
To write a quadratic equation with the given values as solutions, we find the corresponding factors. We then FOIL out the factors to find the original quadratic equation:
$$ 0=\left(x+\sqrt{7}\right)\left(x-\sqrt{7}\right)\\ 0=x^2-\left(\sqrt{7}\right)^2\\ 0=x^2-7$$