Question

The sum of the squares of two consecutive integers is 164. Find the two integers

Answer 1

Answer:

Hey mate here is your answer hope it helps u

Step-by-step explanation:

y = x + 2

xx + yy = 164

xx + (x + 2)(x + 2) = 164

xx + xx + 4x + 4 = 164

2xx + 4x - 160 = 0

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the above quadratic equation is in standard form, with a=2, b=4, and c=-160

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the two real roots (i.e. the two x-intercepts), of the quadratic are:

x = 8

x = -10

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the negative root doesn't meet the requirements of the problem statement, so use the positive root

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answer:

x = 8

y = 10