1,043 prompts matching "Express x^2 + 5x + 1 in completed-square form"
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IGCSE Additional Maths Y11: A point dividing a line in a given ratio, in vector form — Spot My Mistake
I am a Year 11 pupil taking Cambridge IGCSE Additional Mathematics. Work a question on a p
IGCSE Additional Maths Y11: The centroid of a triangle in vector form — IGCSE Exam Practice
I am a Year 11 pupil taking Cambridge IGCSE Additional Mathematics. Set me a past-paper-st
IGCSE Additional Maths Y11: Using the formula list printed in the paper — Explain It Back
I am in SS 2. I have just studied using the formula list printed in the paper for Cambridg
Teach me the distance and midpoint formulas
Act as my SS2 Further Maths tutor. Teach me how to find the distance between two points an
Find alpha squared plus beta squared using sum and product
I am in SS 2. Give me an Additional Maths style question where I know alpha+beta and alpha
Solve x^2 + 5x + 6 = 0 by factorisation
Act as my SS2 Further Maths tutor. Show me step by step how to solve the quadratic equatio
Solve 3x^2 - 5x - 2 = 0 by factorisation
Act as my SS2 Further Maths tutor. Show me step by step how to solve the quadratic equatio
Derive the quadratic formula
Act as my SS2 Further Maths tutor. Show me, step by step, how to derive the quadratic form
Worked example: solving a quadratic with complex roots
Act as my SS2 Further Maths tutor. Show me a full worked example of solving a quadratic eq
Simplify the surd expression sqrt(72) + sqrt(18)
Act as my SS2 Further Maths tutor. Show me step by step how to simplify sqrt(72) + sqrt(18
Simplify the surd expression sqrt(50) - sqrt(8)
Act as my SS2 Further Maths tutor. Show me step by step how to simplify sqrt(50) - sqrt(8)
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)
Act as my SS2 Further Maths tutor. Show me step by step how to simplify 5/(1+sqrt3), extra
Simplify the surd expression (2+sqrt5)^2
Act as my SS2 Further Maths tutor. Show me step by step how to simplify (2+sqrt5)^2, extra
Cambridge-style question: quadratic formula derivation
I am in SS 2. Ask me to derive the quadratic formula from ax^2+bx+c=0 by completing the sq
Teach me solving quadratic inequalities
Teach me how to solve a quadratic inequality like x^2-5x+6>0 using a sketch of the curve a
Factorise x^2 + 5x + 6
Act as my SS2 Further Maths tutor. Walk me through factorising the quadratic trinomial x^2
Factorise 3x^2 - 5x - 2
Act as my SS2 Further Maths tutor. Walk me through factorising the quadratic trinomial 3x^
Teach me quadratic trinomial factorisation
Act as my SS2 Further Maths tutor. Teach me the general method for factorising quadratic t
Complete the square for x^2 + 6x + 5 = 0
Act as my SS2 Further Maths tutor. Show me step by step how to solve x^2 + 6x + 5 = 0 by c