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Senior Secondary

Further Mathematics

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521 prompts matching "Checking a rationalised answer by decimal approximation"

Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.

Solve the logarithmic equation 2log(x) = log(x+6) + log(4)

Act as my SS2 Further Maths tutor. Show me step by step how to solve 2log(x) = log(x+6) +

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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Simplify the surd expression sqrt(72) + sqrt(18)

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Simplify the surd expression sqrt(50) - sqrt(8)

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Simplify the surd expression (3+sqrt2)(3-sqrt2)

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Simplify the surd expression 5/(1+sqrt3)

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Simplify the surd expression (2+sqrt5)^2

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Show All Working: A quadratic whose two roots are both negative

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Show All Working: Completing the square with a fractional coefficient of x

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Show All Working: Choosing between factorising and the formula

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Show All Working: Roots equal in magnitude but opposite in sign

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Show All Working: Forming an equation whose roots are three alpha and three beta

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Show All Working: A simultaneous pair in which the second equation is a circle

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Show All Working: The point of contact when a line touches a curve

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Show All Working: Adding and subtracting two polynomials

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Show All Working: Synthetic division as a shorter route

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Show All Working: A remainder of nought, and what it means

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Show All Working: What the factor theorem says about the roots

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Show All Working: Factorising a polynomial with fractional roots

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