Question

If 2 is added to the square of an integer, the result is 7 less than 10 times that integer. Find the integer(s). (Enter your answers as a comma-separated list. Simplify your answer completely.)

Answer 1

Let the integer be x.

$x^{2} + 2 = 10x - 7$
$x^{2} - 10x + 9 = 0$
Solve quadratic equation:
x=9 or x=1