The lines y = 3x² - x + 5/2 intersects the line y = x/2 +7 at two points. Give their coordinates. Show your working

y= 3x2 -x +5/2 = 0.5 x +76x2 -2x +5 = x+146x2 - 3x -9 = 0 = 2x2 - x -3(2x-3)(x+1) = 0 x = -1 or x = 1.5y = 6.5 or y = 7.75

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