Question 1119580
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Reduce the given equation to standard form.
1. x^2-6x+8y+17=0
2. 2y^2-5x-2y-7=0
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#2:
{{{-5x=-2y^2+2y+7}}}

{{{5x=2y^2-2y-7}}}

{{{highlight_green(highlight_green(x=(2/5)y^2-(2/5)y-7/5))}}}{{{standard}}}{{{form}}}




OR

{{{5x=2(y^2-y)-7}}}

{{{5x=2(y^2-y+1/4-1/4)-7}}}

{{{5x=2((y-1/2)^2-1/4)-7}}}

{{{5x=2(y-1/2)^2-1/2-7=2(y-1/2)^2-1/2-14/2}}}

{{{5x=2(y-1/2)^2-15/2}}}

{{{5x+15/2=2(y-1/2)^2}}}

{{{highlight_green((5/2)(x+3/2)=(y-1/2)^2)}}}