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

Question

18 September, 11:03

+5

Answers (2)

Know the Answer?

Edward Cole · 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

Brendon · Answer 2

Yeah I think I had the test and A is right