643 prompts matching "Proving that a quadratic expression is positive for every real x"
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Alternating sequences and their pattern
I am in SS 1. Give me a Cambridge IGCSE Additional Mathematics style exam question on iden
Gradient from a linear equation
I am in SS 1. I'm going to explain finding the gradient and y-intercept of a line directly
Dividing a line segment in a given ratio
I am in SS 1. Teach me finding the coordinates of a point that divides a line segment inte
Area of a triangle from three coordinates
I am in SS 1. I'm going to explain finding the area of a triangle given the coordinates of
Length of a line segment on a graph
I am in SS 1. Show me a fully worked Cambridge/Additional Maths style solution to a questi
Finding the equation of a circle from its centre and radius
I am in SS 1. Teach me finding the equation of a circle in the form (x-a)^2 + (y-b)^2 = r^
Gradient as a rate of change interpretation
I am in SS 1. I'm going to explain interpreting the gradient of a straight-line graph as a
Perpendicular from a point to a line
I am in SS 1. Teach me finding the equation of the line through a given point that is perp
WAEC-style past question on coordinate geometry
I am in SS 1. I'm going to explain a complete WAEC Further Mathematics past-paper style co
Coordinate geometry involving a right-angle condition to find x
I am in SS 1. Teach me finding an unknown coordinate x so that two given line segments mee
Expanding a product of three brackets
I am in SS 1. I'm going to explain expanding a product of three linear brackets, such as (
Subtracting two algebraic fractions
I am in SS 1. I'm going to explain subtracting two algebraic fractions with different deno
Simplifying a complex algebraic fraction
I am in SS 1. Teach me simplifying a 'fraction within a fraction' algebraic expression by
Solving simultaneous linear equations by substitution
I am in SS 1. I'm going to explain solving a pair of simultaneous linear equations by the
Changing the subject when the variable appears twice
I am in SS 1. Teach me changing the subject of a formula where the required letter appears
Multi-part algebraic manipulation exam question
I am in SS 1. I attempted an Additional Maths question on a Cambridge/Additional Maths sty
Worked Example: What makes two surds equal
Act as my SS1 Further Mathematics tutor. Take me through one full worked example on what m
Worked Example: Why multiplying by the conjugate clears the surd
Act as my SS1 Further Mathematics tutor. Take me through one full worked example on why mu
Worked Example: Squaring both sides safely when solving a surd equation
Act as my SS1 Further Mathematics tutor. Take me through one full worked example on squari
Worked Example: Finding the identity element from a rule such as a*b = a + b - 3
Act as my SS1 Further Mathematics tutor. Take me through one full worked example on findin