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anonymous

  • 5 years ago

√3x+6 (+6 is in radical)= x-4

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  1. anonymous
    • 5 years ago
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    square both sides to get rid of square root

  2. anonymous
    • 5 years ago
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    square (x-4)---FOIL

  3. anonymous
    • 5 years ago
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    \[3x + 6 = x^{2} -8x + 16\]

  4. anonymous
    • 5 years ago
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    subtract 3x and 6 to move to right side leaving 0 on the left

  5. anonymous
    • 5 years ago
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    \[x^{2} -11x - 10 =0\]

  6. anonymous
    • 5 years ago
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    you can factor using chart or my grouping

  7. anonymous
    • 5 years ago
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    sorry that should be +10

  8. anonymous
    • 5 years ago
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    \[x^{2} - 11x + 10 =0\]

  9. anonymous
    • 5 years ago
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    what factors of 10 as a product gives you -11 as a sum? -1 * -10=10 and -1 + (-10)=-11

  10. anonymous
    • 5 years ago
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    so the factors are -1 and -10 (x-1)(x-10)=0 x-1 = 0 and x-10=0 x=1 x=10 {1, 10}

  11. anonymous
    • 5 years ago
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    or factoring by grouping-break down middle term using know factors of -1 and-10

  12. anonymous
    • 5 years ago
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    \[x^{2}-x-10x+10\]

  13. anonymous
    • 5 years ago
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    factor out GCF x(x-1)-10(x-1)=0 (x-10)(x-1)=0 x=10 and x=1

  14. anonymous
    • 5 years ago
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    thx

  15. anonymous
    • 5 years ago
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    welcome...do you understand? what grade are you in...medal please ; )

  16. anonymous
    • 5 years ago
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    im in 8th doing algebra, so what ur final answer?

  17. anonymous
    • 5 years ago
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    and what are you talking about with a medal?

  18. anonymous
    • 5 years ago
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    love 8th grade Algebra! Solutions are 10 and 1 {1, 10}

  19. anonymous
    • 5 years ago
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    click on good answer by my name on the right

  20. anonymous
    • 5 years ago
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    yeah i got that, but when you plug it back in, it doesnt work. does it have to work?

  21. anonymous
    • 5 years ago
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    what answer do i click on for good answer?

  22. anonymous
    • 5 years ago
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    it does work

  23. anonymous
    • 5 years ago
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    \[x=1 \sqrt{9}=1-4\]

  24. anonymous
    • 5 years ago
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    okay good, thanks for your help

  25. anonymous
    • 5 years ago
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    square root of 9 is 3 or -3

  26. anonymous
    • 5 years ago
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    wait could u also help me with another question instead of me reposting one??

  27. anonymous
    • 5 years ago
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    sure

  28. anonymous
    • 5 years ago
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    x=10 so square root of 36 equals -6 or 6

  29. anonymous
    • 5 years ago
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    a right triangle has one leg that is 4 inches shorter than the other leg. the hypotenuse is √106 inches. find the lengths of the legs.

  30. anonymous
    • 5 years ago
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    ok i'm writing it out to solve...hold on

  31. anonymous
    • 5 years ago
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    k

  32. anonymous
    • 5 years ago
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    ill be right back

  33. anonymous
    • 5 years ago
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    do you want to factor my grouping

  34. anonymous
    • 5 years ago
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    \[2x^{2}-8x-90=0\]

  35. anonymous
    • 5 years ago
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    let a = x, b=(x-4) and c=square root of 106(hypotenuse)

  36. anonymous
    • 5 years ago
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    \[x^{2} + x^{2} -8x +16 = 106\]

  37. anonymous
    • 5 years ago
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    after plugging into Pythagorean Theorem (right triangle)

  38. anonymous
    • 5 years ago
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    subtract 106 from both sides to get the first equation I posted above

  39. anonymous
    • 5 years ago
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    back

  40. anonymous
    • 5 years ago
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    working backwards so hope you can follow

  41. anonymous
    • 5 years ago
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    kind of

  42. anonymous
    • 5 years ago
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    where did you get lost?

  43. anonymous
    • 5 years ago
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    http://www.twiddla.com/536745 go there for explanation

  44. anonymous
    • 5 years ago
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    thx

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spraguer (Moderator)
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