624 prompts matching "Quiz: Checking a surd equation for extraneous roots"
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Simplify the surd expression (3+sqrt2)(3-sqrt2)
Act as my SS2 Further Maths tutor. Show me step by step how to simplify (3+sqrt2)(3-sqrt2)
Simplify the surd expression 5/(1+sqrt3)
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Simplify the surd expression (2+sqrt5)^2
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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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Give me a 5-minute recap of quadratic equations
Act as my SS2 Further Maths tutor. Give me a quick 5-minute recap of quadratic equations,
Give me a 5-minute recap of cubic equations
Act as my SS2 Further Maths tutor. Give me a quick 5-minute recap of cubic equations, cove
Give me a 5-minute recap of indices and surds
Act as my SS2 Further Maths tutor. Give me a quick 5-minute recap of indices and surds, co
Structured question: solve and check a quadratic equation
Give me a structured Additional Maths question with two parts: (a) solve a quadratic equat
WAEC exam question: symmetric functions of roots
I am in SS 2. Give me a WAEC-style Further Maths question asking for alpha^3+beta^3 or (al
Quiz me on quadratic inequalities
I am in SS 2. Quiz me with five short quadratic inequality questions of increasing difficu
Quiz: Factorising a difference of two squares in order to solve it
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Quiz: Completing the square on x squared plus 6x
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Spot My Mistake: Completing the square when the roots are not real
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Practice: Giving the roots correct to two decimal places
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Learn: The sum of the roots as minus b over a
You are my personal SS2 Further Mathematics tutor. Teach me the sum of the roots as minus
Worked Example: The product of the roots as c over a
Act as my SS2 Further Mathematics tutor. Take me through one full worked example on the pr