376 prompts matching "Forming a cubic equation whose three roots are given"
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Create a revision plan for trigonometric identities and equations
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Summarise quadratic equations for quick revision
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Summarise trigonometric identities and equations for quick revision
Act as my SS2 Further Maths tutor. Give me a concise summary of the key formulas and metho
Give me common mistakes students make in quadratic equations
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Give me common mistakes students make in trigonometric identities and equations
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Solve the logarithmic equation log2(x) + log2(x-2) = 3
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Solve the logarithmic equation log(x+1) - log(x-1) = 2
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Solve the logarithmic equation 2log(x) = log(x+6) + log(4)
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Solve the logarithmic equation log3(x^2) - log3(x+2) = 1
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Solve the logarithmic equation log5(x+3) + log5(2) = 2
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Solve the trigonometric equation 2cos(x) = 1, for 0 <= x <= 360
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Solve the trigonometric equation sin(2x) = 0.5, for 0 <= x <= 360
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Solve the trigonometric equation tan(x) = -1, for 0 <= x <= 360
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Solve the trigonometric equation 3sin(x) - 1 = 0, for 0 <= x <= 360
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Solve the trigonometric equation cos^2(x) - sin^2(x) = 0.5, for 0 <= x <= 360
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Worked example: find the equation of the tangent to y = x^2 - 5x + 6 at the point where x = 1
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Worked example: find the equation of the line through (2,3) and (5,9)
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Worked example: find the equation of a circle with centre (2,-1) and radius 4
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Worked example: solve x^2+4x+13=0 giving the roots as complex numbers
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Worked example: use matrices to solve the simultaneous equations 2x+y=8 and x-y=1
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