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Math Help - general form to standard form

  1. #1
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    general form to standard form

    i need to change = -3x^2+x-2 to standard form( a(x-p)^2 +q)
    can anyone show me the algebraic steps through completing the square?
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  2. #2
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    ax^{2}+bx+c=a\left [ \left ( x+\frac{b}{2a}\right )^{2}-\frac{\Delta}{4a^{2}}\right ]
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  3. #3
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    i don't get your second equation already = a[(x+b/2a)^2 -delta/4a^2]
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  4. #4
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    this is the details

    ax^{2}+bx+c=0

    x^{2}+\frac{b}{a}x+\frac{c}{a}=0

    \left(  x^{2}+\frac{b}{a}x+\frac{b^{2}}{4a^{2}}\right)  +\frac{c}{a}%<br />
-\frac{b^{2}}{4a^{2}}=0

    \left(  x+\frac{b}{2a}\right)  ^{2}+\frac{c}{a}-\frac{b^{2}}{4a^{2}}=0

    \left(  x+\frac{b}{2a}\right)  ^{2}+\frac{4ac-b^{2}}{4a^{2}}=0
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  5. #5
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    here's what u need,

    Homeomath : forme canonique de ax˛ + bx + c
    forget about the writing
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  6. #6
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    okay,
    -3x^2+x-2 = -3\left ( x^2-\frac{1}{3}x+\frac{2}{3} \right )=-3\left ( (x-\frac{1}{6})^2 -\frac{1}{36}+\frac{2}{3}\right )= -3\left ( (x-\frac{1}{6})^2+\frac{23}{36} \right )
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