MATH

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MATH

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?

x² + 23 = x² + 2x + 1
(x + 23)² = x² + 2x + 1
x² + 23 = x² + 1
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Re: MATH

x is the smaller number
x + 1 is the second number   {the second is one more than the first}

x² + 23 = (x + 1)²    {the square of one is 23 less than square of other}
x² + 23 = x² + 2x + 1   {squared the binomial on right side}