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anonymous

  • 5 years ago

The given equation involves a power of the variable. Find all real solutions of the equation. x^2=24

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  1. myininaya
    • 5 years ago
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    x=+ or - 24^(1/2)

  2. myininaya
    • 5 years ago
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    x=+ or -2*6^(1/2)

  3. myininaya
    • 5 years ago
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    x=2*6^(1/2) x=-2*6^(1/2)

  4. anonymous
    • 5 years ago
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    second one is correct. how do you come to that? it seems as if it's something really simple and i am not connecting it... can you explain?

  5. anonymous
    • 5 years ago
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    i really need help figuring it out, not just the answer.

  6. myininaya
    • 5 years ago
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    \[x^{2}=9\] wouldn't you agree x=-3 and x=3 since (-3)^2=9 and (3)^2=9

  7. myininaya
    • 5 years ago
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    ?

  8. anonymous
    • 5 years ago
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    no

  9. anonymous
    • 5 years ago
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    x^2=24

  10. myininaya
    • 5 years ago
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    what is (-3)^2?

  11. anonymous
    • 5 years ago
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    -9

  12. myininaya
    • 5 years ago
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    no (-3)^2=(-3)(-3)=9

  13. myininaya
    • 5 years ago
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    -3^2=-3*3=9 since the square is only on the 3 and not the whole thing

  14. anonymous
    • 5 years ago
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    i don't understand where the 3 comes from.........

  15. myininaya
    • 5 years ago
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    x^2=9 just tell what would go in the place of x

  16. myininaya
    • 5 years ago
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    tell me what you think would go there? ask yourself what is something square that will give me 9?

  17. anonymous
    • 5 years ago
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    i understand. maybe i don't know where you get the 9 then....

  18. myininaya
    • 5 years ago
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    ? i made up the problem

  19. anonymous
    • 5 years ago
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    oh. wtf... lol. i can figure out your problem, why can't i figure out this other one?

  20. myininaya
    • 5 years ago
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    the 9 just came from somewhere in my head i'm trying to show you something so you understand problems like this

  21. myininaya
    • 5 years ago
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    lol

  22. anonymous
    • 5 years ago
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    thanks for the example btw :)

  23. myininaya
    • 5 years ago
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    x^2=9 to solve equations like this you take the square of both sides and you always put + or -

  24. myininaya
    • 5 years ago
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    the reason is, because as you seen above there are two numbers we can plug into x^2=9 that would be correct just like if we had x^2=25 x=-5 and 5

  25. myininaya
    • 5 years ago
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    x^2=81 what will your solutions be?

  26. anonymous
    • 5 years ago
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    okay. that makes sense... with your example. i'm guessing because it's very simple is why i can understand it. lol

  27. anonymous
    • 5 years ago
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    x=+or-9

  28. myininaya
    • 5 years ago
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    you don't like it when the other side isn't a perfect square but its just like these other ones that are you can't get an integer answer though RIGHT! :)

  29. myininaya
    • 5 years ago
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    x^2=56 what would x be?

  30. anonymous
    • 5 years ago
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    somewhere between 7 and 8.... :/

  31. myininaya
    • 5 years ago
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    lol x=+sqrt(56) x=-sqrt(56)

  32. anonymous
    • 5 years ago
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    okay. i can write it like that :)

  33. myininaya
    • 5 years ago
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    you can simplify this x=+ or - sqrt(8*7)=plus or minus sqrt(2*2*2*7)=+ or - 2sqrt(14)

  34. myininaya
    • 5 years ago
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    like when we did x^2=9 we got x=sqrt(9)=3 and x=-sqrt(9)=-3

  35. anonymous
    • 5 years ago
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    okay. why not 2*sqrt7?

  36. myininaya
    • 5 years ago
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    sqrt(8*7)=sqrt(2*2*2*7)=sqrt(4*14)=sqrt(4)sqrt(14)=2sqrt(14)

  37. myininaya
    • 5 years ago
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    sqrt(ab)=sqrt(a)sqrt(b) is a rule you can use in the future k?

  38. anonymous
    • 5 years ago
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    wow. you are very helpful. this is something i am lacking in my knowledge.... :)

  39. myininaya
    • 5 years ago
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    thanks :)

  40. anonymous
    • 5 years ago
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    give me a sec. i will attempt the original prob...

  41. anonymous
    • 5 years ago
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    wow. i just did it! i can't believe i feel that i actually did it. haha :) x^2=24 x=sqrt+-24 x=sqrt+-(6)sqrt+-(4) x=+-2sqrt(6) look like i'm understanding?

  42. myininaya
    • 5 years ago
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    very nice but in the steps before don't put the +- inside the sqrt x=+-sqrt(24) x=+-sqrt(6)sqrt(4) x=+-2sqrt(6) but very nice otherwise :) gj

  43. myininaya
    • 5 years ago
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    can you do x^2=54

  44. anonymous
    • 5 years ago
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    i see. sorry. having internet issues here. :/

  45. anonymous
    • 5 years ago
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    x=+or- 3sqrt(6)?

  46. anonymous
    • 5 years ago
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    i believe this makes sense. :D i would like to know if the last one i did is correct :)

  47. anonymous
    • 5 years ago
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    http://www.wolframalpha.com/input/?i=x^2%3D54 MHUAAHAHA!!! You are the best!

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