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Simplify fully: (5 +√7)/ (2+√7)

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Answered by Tony A. • Maths tutor

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Solve the simultaneous equations: y + 4x + 1 = 0, and y^2 + 5x^2 + 2x = 0.

Find the coordinates of the minimum point on the curve: y = x^2 - x - 2

Using the substitution u = 2 + √(2x + 1), or other suitable substitutions, find the exact value of 4 0 1 ∫ 2 (2 1) +√ +x dx giving your answer in the form A + 2ln B, where A is an integer and B is a positive constant

How would you find the coordinates of the intersections of a graph with the x and y axes, and the coordinates of any turning points?

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