SOLUTION: The sum of the squares of two consecutive integers is 9 greater than 8 times the smaller integer. Find the integers

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Question 1012470: The sum of the squares of two consecutive integers is 9 greater than 8 times the smaller integer. Find the integers
Answer by ikleyn(52832) About Me  (Show Source):
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The sum of the squares of two consecutive integers is 9 greater than 8 times the smaller integer. Find the integers
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x%5E2+%2B+%28x%2B1%29%5E2 = 8x+%2B+9,

x%5E2+%2B+x%5E2+%2B+2x+%2B+1 = 8x+%2B+9,

2x%5E2+-6x+-8 = 0,

Use the quadratic formula to solve this quadratic equation.

You will get two solutions: x = -1 and x = 4.

Answer. There are two solutions: x = -1 and x = 4.