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Where are the points of intersection on the curves y equals 5x squared minus 2x plus 1 and y equals 6 minus 3x minus x squared?
Wiki User
∙ 13y ago
So by definition both equations equal one another:
5x2-2x+1 = 6-3x-x2
5x2+x2-2x+3x+1-6 = 0
6x2+x-5 = 0
Factor the above equation with the help of the quadratic equation formula:
(6x-5)(x+1) = 0
When x = -1 y = 8
When x = 5/6 y = 101/36
Therefore the curves intersect at points: (-1, 8) and (5/6, 101/36)
Wiki User
∙ 13y ago
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What does the solutions represent in graph?
Solutions may be closed or open regions or they may be points within a region (for example, grid points for integer solutions), or points of intersection between curves or between curves and the axes. It all depends on what the graphs and the solutions are.
