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xxfreshboy

  • 2 years ago

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

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  1. shubhamsrg
    • 2 years ago
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    where are you stuck ?

  2. xxfreshboy
    • 2 years ago
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    I dont know anything at all to be honest.

  3. xxfreshboy
    • 2 years ago
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    About this topic.

  4. abcabc
    • 2 years ago
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    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
    • 2 years ago
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    I dont get anything =/ second all Just go to shift x to other side right and makes t y=x-8

  6. cinar
    • 2 years ago
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    y=8-x

  7. cinar
    • 2 years ago
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    x^2+(8-x)^2=24

  8. cinar
    • 2 years ago
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    x^2+64-16x+x^2=24

  9. cinar
    • 2 years ago
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    2x^2-16x+40=0

  10. cinar
    • 2 years ago
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    x^2-8x+20=0

  11. xxfreshboy
    • 2 years ago
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    so y cnt be x-8 but has to 8-x?

  12. cinar
    • 2 years ago
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    yes..

  13. cinar
    • 2 years ago
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    (x-10)(x+2)=0 x=10 x=-2

  14. xxfreshboy
    • 2 years ago
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    so those will be the solutions right?

  15. cinar
    • 2 years ago
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    find b's also..

  16. cinar
    • 2 years ago
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    I meant y

  17. cinar
    • 2 years ago
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    because these eq. are two variable..

  18. xxfreshboy
    • 2 years ago
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    could you just guide me through like what to do?

  19. cinar
    • 2 years ago
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    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
    • 2 years ago
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    thank you!

  21. cinar
    • 2 years ago
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    hold on I made a mistake..

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

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

  24. cinar
    • 2 years ago
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    it means that they are not crossing each other..

  25. cinar
    • 2 years ago
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    sorry about that..

  26. cinar
    • 2 years ago
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    root are complex number..

  27. xxfreshboy
    • 2 years ago
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    its okay thanks for your time, really appreciate all this walk through.

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

  29. cinar
    • 2 years ago
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    you can see it here

  30. xxfreshboy
    • 2 years ago
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    yes thank you!

  31. cinar
    • 2 years ago
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    np

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