The sum of two numbers is17 and the sum of their squares is 145. find the larger number.

Let the two numbers be x and y

x^2 + y^2 = 145

x + y = 17 Solve for y

y = 17 - x

x^2 + (17 - x)^2 = 145

x^2 + 289 - 34x + x^2 = 145

2x^2 - 34x + 289 = 145 Subtract 145 from both sides.

2x^2 -34x + 289 - 145 = 0

2x^2 - 34x + 144 = 0

x^2 - 17x + 72 = 0

(x - 9)(x - 8) = 0

x = 9 or x = 8

y = 9 or y = 8

The larger number is 9

I did it because I wanted to show if anything else would show up. If you haven't taken any algebra, ignore this answer.

good luck on ur quiz test or homework. have a good day : )

um is there supposed to be a picture?