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

Question

3 years ago

6

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

Mathematics

2 answers:

Delvig [45] · Answer 1 · 2022-03-28T15:36:47+03:00

Delvig [45]3 years ago

8 0

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

Zarrin [17] · Answer 2 · 2022-03-28T17:22:34+03:00

Zarrin [17]3 years ago

4 0

Yeah I think I had the test and A is right