Question

The square of one number is 23 less than the square of a second number. If the second number is 1 more than the first, what are the two numbers?
If x represents the smaller number, then which of the following quadratic equations represents the word problem?

a. x² + 23 = x² + 2x + 1
b. (x + 23)² = x² + 2x + 1
c. x² + 23 = x² + 1

Answer 1

The correct answer is a
(X+1)^2 - x^2=23
X^2 + 2x + 1 -x^2 =23
2x +1 =23
2x =22
X= 11

X+1= 12

Answer 2

Yeah I think I had the test and A is right