the sum of number is 9 and the sums of square is 41. Find the numbers
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Step-by-step explanation:
Assuming your 2nd sentence should be: "The sum of the squares of the two
numbers is 41"
X + Y = 9 {equation 1}
X2 + Y2 = 41 {equation 2}
from equation 1: y = 9-x
Substitute that into equation 2
x2 + (9-x)2 = 41
x2 + 81 - 18x + x2 = 41
2x2 - 18x + 40 = 0
We can factor out a 2
x2 - 9x + 20 = 0
(x-5)(x-4) = 0
x = 5 or 4
Your two numbers are 4 and 5
42 + 52 = 16 + 25 = 41
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