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Solve 15x² − 14x − 8 = 0 by factorisation.
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Solve 15x² − 14x − 8 = 0 by factorisation.
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Solve x² − 8x + 5 = 0 by completing the square.
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Use the quadratic formula to solve 3x² + 4x − 2 = 0.
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Solve 0.24x² − 1.1x + 1 = 0 by first clearing the decimals and then factorising.
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Solve the equation 3x(x − 2) = 2x + 7.
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Solve 2x² + 12x + 7 = 0 by completing the square.
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Solve (3x − 2)² = 4x + 9, giving the exact solutions.
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Solve 7x² − 5x − 9 = 0. Give both solutions correct to three significant figures.
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The diagram shows a rectangular garden. Using the dimensions and area marked on the diagram, which value of x is geometrically valid?
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The diagram shows a straight line and a parabola. What are the x-coordinates of their points of intersection?