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How does an incomplete quadratic equation differ from a complete quadratic equation?
A complete quadratic equation is expressed in the form ax2+bx+c=0 (for example, 1x2-5x+4=0), and the formula to solve it is x1,2=(-b±√[b2-4ac])/2a {using the numbers from the example:
x1,2=(5±√[25-16])/2
x1,2=(5±√[9])/2
x1,2=(5±3)/2
So the answers will be 4 ([5+3]/2) and 1 ([5-3]/2).}
An incomplete quadratic equation can be expressed in two forms: ax2+bx=0 and ax2+c=0. The first form is solved by taking x (in some cases, x multiplied by a number that both a and b can be divided by, like in the next example) out of the two numbers, making the equation x(ax+b)=0. Then, either the outcome of the brackets (in the next example, the outcome of the brackets is x+1, so if x+1=0, then x=-1) or the x multiplying them needs to be zero in order for the equation to be correct, for example:
5x2+5x=0
5x(x+1)=0
x1=0
x2=(-1)
Or by taking out just x:
5x2+5x=0
x(5x+5)=0
x1=0
x2=(-1)
The second form is solved like a regular equation, for example:
2x2-162=0
2x2=162
x2=81
x=±9
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i dont know 8x+5y=89
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i dont know 8x+5y=89
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In its standard form, the equation of a circle is a quadratic in both variables, x and y, whereas a parabola is quadratic in one (x) and liner in the other (y). A circle is a closed shape and comprises the locus of all points that are equidistant from one given point (the centre). A parabola is an open shape and comprises the locus of all points that are the same distance from a a straight line (the directrix) and a point not on that line (the focus).
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