Algebra

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Solve the equation. Check all proposed solutions. Show work in solving and in checking.

Root3-x = x-1

  • Algebra -

    sqrt(3-x) = x-1.

    Start by squaring both sides.

    3 - x = x^2 - 2x + 1
    0 = x^2 - x - 2

    Factor the equation:
    0 = (x-2)(x+1)

    So x = 2 or x = 1

  • Algebra -

    you made a mistake it is x=2 or x=1 its x=2 or x=-1

  • Algebra -

    I am still confused. Can someone please explain further and break this problem down cause I have 5 more like this one to do. Thank you!

  • But......Algebra -

    from Marth's last line
    So x = 2 or x = 1 ...
    that should have said
    So x = 2 or x = -1

    Since he squared both sides, all answers must be verified.

    if x=2
    LS = √(3-2) = √1 = 1
    RS = 2-1 = 1 OK

    if x = -1
    LS = √(3+1) = √4 = 2
    RS = -1 - 1 = -2
    so LS is not equal to RS

    so the only solution is x = 2

  • Algebra -

    2 or 1 or


    2 or -1?

    annaiiz ceballos said

    it is x=2 or x=1 its x=2 or x=-1

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