Answer:
The integer is 1 or 9.
Step-by-step explanation:
Let the integer be x, then:
x^2 + 7 = 10x - 2
x^2 - 10x + 9 = 0
(x - 9)(x - 1) = 0
x = 1, 9.
Verifying
9^2 + 7 = 88
10*9 - 2 = 88 So 9 is correct.
1^2 + 7 = 8
10*1 - 2 = 8 So 1 is also correct.
