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MATHEMATICS · Multi-part · GCSE · Mathematics · Algebra · Algebra

Problem

Consider y=−x2−3x+4y = -x^2 - 3x + 4 and y=x2+5x+4y = x^2 + 5x + 4 . (1) Solve for xx : −x2−3x+4=x2+5x+4-x^2 - 3x + 4 = x^2 + 5x + 4 . (2) Sketch the curves on the same set of axes. (3) Hence solve for xx : x2+5x+4>−x2−3x+4x^2 + 5x + 4 > -x^2 - 3x + 4 .

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