1,043 prompts matching "Express x^2 - 9x + 4 in completed-square form"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
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
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 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
Complete the square for x^2 - 4x - 1 = 0
Act as my SS2 Further Maths tutor. Show me step by step how to solve x^2 - 4x - 1 = 0 by c
Complete the square for x^2 + 8x + 10 = 0
Act as my SS2 Further Maths tutor. Show me step by step how to solve x^2 + 8x + 10 = 0 by
Complete the square for 2x^2 + 4x - 3 = 0
Act as my SS2 Further Maths tutor. Show me step by step how to solve 2x^2 + 4x - 3 = 0 by
Complete the square for x^2 - 10x + 21 = 0
Act as my SS2 Further Maths tutor. Show me step by step how to solve x^2 - 10x + 21 = 0 by
Complete the square for x^2 + 3x - 4 = 0
Act as my SS2 Further Maths tutor. Show me step by step how to solve x^2 + 3x - 4 = 0 by c
Complete the square for 3x^2 + 6x - 2 = 0
Act as my SS2 Further Maths tutor. Show me step by step how to solve 3x^2 + 6x - 2 = 0 by
Use the quadratic formula on 2x^2 - 3x - 5 = 0
Act as my SS2 Further Maths tutor. Show me step by step how to solve 2x^2 - 3x - 5 = 0 usi
Use the quadratic formula on x^2 + 4x - 7 = 0
Act as my SS2 Further Maths tutor. Show me step by step how to solve x^2 + 4x - 7 = 0 usin
Use the quadratic formula on 3x^2 + 5x + 1 = 0
Act as my SS2 Further Maths tutor. Show me step by step how to solve 3x^2 + 5x + 1 = 0 usi