Question

- Two consecutive integers are 5 and 6. Write a quadratic equation that

could be used to determine these two integers.

Answer 1

x^2 -11x +30 = 0

Explanation:

If these two integers are solutions of the quadratic, then its factors are ...

(x -5)(x -6) = 0

Multiplying this out, we get ...

x^2 -11x +30 = 0