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.

b: y = 2x + 2

step-by-step explanation:

y = 2x + 1

we want a line that is parallel, so it will have the same slope

the line is in the form y= mx+b, so the slope is 2

we have a slope and the y intercept (0,2)

since x is 0 we know the y point which is the y intercept

we can use y= mx+b to write the equation of the line

m is the slope and b is the y intercept

y = 2x +2