Question:

Please solve by any method?

by Guest65070  |  earlier

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9x=√81x-10/2

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  1. 9x = √81x - 10/2

    9x = √81x – 5

    9x + 5 = √81x  ---------- squaring both sides

    81x² + 90x + 25 = 81x

    81x² + 171x + 25 = 0

    a = 81, b = 171, c = 25

    x = [– b ± √(b² – 4ac)] ÷ 2a

    x = [– 171 ± √(171² – 8100)/162

    x = [–171 ± 145.4]/162

    x = – 0.15803 or x =  ÃƒÂ¢Ã‚€Â“ 1.9531

    --------


  2. 9x=√81x-10/2

    9x+10/2 = -√81x

    9x+5 =  -√81x

    square both sides

    (9x+5)^2 = 81 x^2

    81x^2+90x+25 = 81 x^2

    90x=-25

    x=-25/90

    x= -5 /18

    I have assumes it was sqrt(81x)

  3. If this is 9x = squareroot(81)x - 10/2, then it can't be solved.  the square root of 81 is 9, so...

    9x = 9x -10/2

    subtract 9x from both sides and you get:

    0 = 5

    Are you missing parentheses somewhere?

  4. 9x=(√81x-10)/2

    18x - √81x +10 =0

    18x -9√x + 10 =0

    let x= a^2, so √x = a

    18a^2 -9a +10 =0

    using quad formula

    -b+- sq rt(b^2-4ac)  / 2a

    a= (1+ - √71i) / 4

    x = a^2 = [(1+ - √71i) / 4]^2

    x = 1+√71i -71 / 16  or x = 1-√71i -71

    x=( √71i - 70) / 16   or x=( -√71i - 70) / 16

  5. Due to lack of brackets , this question may be read in MANY different ways.

    BRACKETS ARE A MUST.

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