1,045 prompts matching "Expressing a number in the form a root b"
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Worked example: word problem leading to a quadratic
Act as my SS2 Further Maths tutor. Show me a full worked example of a word problem that le
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
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Complete the square for 2x^2 + 4x - 3 = 0
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Complete the square for x^2 - 10x + 21 = 0
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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
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Teach me solving a linear and a quadratic equation by substitution
You are my SS2 Further Mathematics tutor. Teach me solving a linear and a quadratic equati
Quiz me on checking both pairs of solutions of a linear-quadratic pair
Act as my SS2 Further Maths tutor. Quiz me with three pairs of simultaneous equations, eac
Explain substitution method back to me
Act as my SS2 Further Maths tutor. I'll explain in my own words how to use the substitutio
Spot my mistake in a linear-quadratic system
Act as my SS2 Further Maths tutor. I tried substituting my linear equation into the quadra
Why simultaneous linear-quadratic systems can have two solutions
Act as my SS2 Further Maths tutor. Explain to me why solving a linear equation together wi
Teach me conditions for a line and a curve to intersect
Act as my SS2 Further Maths tutor. Teach me how to determine whether a given straight line
Worked example: is this line tangent to this curve
Act as my SS2 Further Maths tutor. Show me a full worked example of substituting a line's
Quiz me on line and curve intersection conditions
Act as my SS2 Further Maths tutor. Quiz me with three different line-and-curve pairs, and
Give me practice on tangent lines to curves
Act as my SS2 Further Maths tutor. Give me five practice questions on finding the conditio
Explain line-curve intersection conditions back to me
Act as my SS2 Further Maths tutor. I'll explain in my own words how to use the discriminan
Teach me collecting like terms across two polynomials
You are my SS2 Further Mathematics tutor. Teach me collecting like terms across two polyno
Worked example: adding two polynomials
Act as my SS2 Further Maths tutor. Show me a full worked example of adding two polynomials