Question

Find conman solution algebraically and express itrrational roots in simplest radical form.
x^2+y^2=24
x+y=8

Answer 1

where are you stuck ?

Answer 2

I dont know anything at all to be honest.

Answer 3

About this topic.

Answer 4

You could start with thes second equation and find an expression for x= (or y= if you choose) and then substitute that into the first equation.

Answer 5

I dont get anything =/ second all Just go to shift x to other side right and makes t y=x-8

Answer 6

y=8-x

Answer 7

x^2+(8-x)^2=24

Answer 8

x^2+64-16x+x^2=24

Answer 9

2x^2-16x+40=0

Answer 10

x^2-8x+20=0

Answer 11

so y cnt be x-8 but has to 8-x?

Answer 12

yes..

Answer 13

(x-10)(x+2)=0
x=10
x=-2

Answer 14

so those will be the solutions right?

Answer 15

find b's also..

Answer 16

I meant y

Answer 17

because these eq. are two variable..

Answer 18

could you just guide me through like what to do?

Answer 19

choose one of the eq. it does not matter which one, x+y=8 is easier one

than put for x=10 find y

for x=-2 find y

Answer 20

thank you!

Answer 21

hold on I made a mistake..

Answer 22

until this it is true, but I made a mistake when I factored it out..

x^2-8x+20=0

Answer 23

ax^2+bx+c=0
d=b^2-4ac

d=8^2-4*1*20=-16<0 no real solution..

Answer 24

it means that they are not crossing each other..

Answer 25

sorry about that..

Answer 26

root are complex number..

Answer 27

its okay thanks for your time, really appreciate all this walk through.

Answer 28

http://www.wolframalpha.com/input/?i=solve+x^2%2By^2%3D24%2Cx%2By%3D8

Answer 29

you can see it here

Answer 30

yes thank you!

Answer 31

np