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.

the central idea is that:

individuals should refuse to cooperate with institutions they believe unjust.

thoreau felt  that governments were more often agents of corruption than justice, even democracies, and that just because the majority feels a certain way does not make it just or correct in absolute terms. he uses the fact that slavery exists in our democracy to support this idea.

he goes on to say that, as a result, people should live true to their own internal laws regarding right and wrong, as a product of reflection and a moral life, rather than following every law that society imposes. 

step-by-step explanation:

sorry man i accidentally pressed yes my bad

step-by-step explanation: