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If: y = 4x2-2x-1 and y = -2x2+3x+5

Then: 4x2-2x-1 = -2x2+3x+5

So: 6x2-5x-6 = 0

Solving the quadratic equation: x = -2/3 or x = 3/2

Points of intersection by substitution: (-2/3, 19/9) and (3/2, 5)

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Q: What are the points of intersection of the parabolas y equals 4x squared -2x -1 and -2x squared plus 3x plus 5 showing key stages of work?
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