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13-01-2021
Mathematics

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Two numbers differ by 5. The sum of their squares is 193. Find the numbers.

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ElizabethZi ElizabethZi

13-01-2021

Answer:

Let one number be x and the other be (x-5)

Step-by-step explanation:

x^2+(x-5)^2=193

x^2+x^2-10x+25=193

2x^2-10x+25=193

Subtract 193 from both sides of the equation.

2x^2-10x-168=0

x=12 or x=-7

x-5=7 or x-5=-12

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