Graph the following quadratic equations ...

Graph the following quadratic equations and state their nature of solutions.
`x^(2)+x+7=0`

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Draw the graph of y=x^(2)-4 and hence solve x^(2)-x-12=0.
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Draw the graph of y=x^(2)+x and hence solve x^(2)+1=0.
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Draw the graph of y=x^(2)+3x+2 and use it to solve x^(2)+2x+1=0.
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Draw the graph y=x^(2)+3x-4 and hence use it to solve x^(2)+3x-4=0.
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Draw the graph of y=x^(2)-5x+6 and hence solve x^(2)-5x-14=0.
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Draw the graph of y=2x^(2)-3x-5 and hence solve 2x^(2)-4x-6=0.
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Draw the graph of y=(x-1)(x+3) and hence solve x^(2)-x-6=0.
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