emmanuel469 emmanuel469

31-10-2021
Mathematics

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The sum of the squares of two numbers is 225 . If one of the numbers is greater than the other one by 3 , find the two numbers

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lynnkc2000 lynnkc2000

31-10-2021

Answer:

Two number: (9 , 12) or (-9 , -12)

Step-by-step explanation:

x² + (x+3)² = 225

2x² + 6x + 9 = 225

2x² + 6x + 216 = 0

2 (x² + 3x + 108) = 0

2 ( x-9) (x+12) = 0

x = 9 or x = -12

Two number: (9 , 12) or (-9 , -12)

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