Math, asked by albinappu4377, 6 months ago

the sum of number is 9 and the sums of square is 41. Find the numbers ​

Answers

Answered by bhanuprakashch75
6

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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