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

1. shubhamsrg

where are you stuck ?

2. xxfreshboy

I dont know anything at all to be honest.

3. xxfreshboy

4. abcabc

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.

5. xxfreshboy

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

6. cinar

y=8-x

7. cinar

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

8. cinar

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

9. cinar

2x^2-16x+40=0

10. cinar

x^2-8x+20=0

11. xxfreshboy

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

12. cinar

yes..

13. cinar

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

14. xxfreshboy

so those will be the solutions right?

15. cinar

find b's also..

16. cinar

I meant y

17. cinar

because these eq. are two variable..

18. xxfreshboy

could you just guide me through like what to do?

19. cinar

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

20. xxfreshboy

thank you!

21. cinar

hold on I made a mistake..

22. cinar

until this it is true, but I made a mistake when I factored it out.. x^2-8x+20=0

23. cinar

ax^2+bx+c=0 d=b^2-4ac d=8^2-4*1*20=-16<0 no real solution..

24. cinar

it means that they are not crossing each other..

25. cinar

26. cinar

root are complex number..

27. xxfreshboy

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

28. cinar
29. cinar

you can see it here

30. xxfreshboy

yes thank you!

31. cinar

np