643 prompts matching "Proving that a quadratic expression is positive for every real x"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Learn: The four inequality symbols, and what each one means
You are my personal SS1 Further Mathematics tutor. Teach me the four inequality symbols, a
Show All Working: Writing the solution of an inequality as a set
Act as my Further Mathematics examiner. I am in SS 1. Set me a question on writing the sol
Learn: What the modulus of a number means
You are my personal SS1 Further Mathematics tutor. Teach me what the modulus of a number m
Zero index rule
I am in SS 1. I'm going to explain the zero index rule, showing why any nonzero number rai
Negative indices as fractions
I am in SS 1. Give me a Cambridge IGCSE Additional Mathematics style exam question on nega
Fractional indices as roots
I am in SS 1. Teach me fractional indices, converting between root form and index form, su
Solving index equations with matching bases
I am in SS 1. I'm going to explain solving an index equation by rewriting both sides with
Laws of indices with three different bases in one line
I am in SS 1. I attempted an Additional Maths question on simplifying an expression that c
Solving 4^x = 8^(x-1) by matching bases
I am in SS 1. I'm going to explain solving the equation 4^x = 8^(x-1) by writing both side
Index laws with an unknown letter base
I am in SS 1. Show me a fully worked Cambridge/Additional Maths style solution to a questi
Solving an equation with a fractional exponent on x
I am in SS 1. Quiz me with 3 short Additional Maths questions on solving x^(2/3) = 4 for x
Index equation with equal exponents, unknown base
I am in SS 1. Teach me solving an equation of the form x^3 = 125 for an unknown base x the
Combining index and surd notation
I am in SS 1. Give me a Cambridge IGCSE Additional Mathematics style exam question on rewr
Estimating the value of a surd
I am in SS 1. I'm going to explain estimating the approximate value of a surd such as root
Surd word problem: diagonal of a rectangle
I am in SS 1. Teach me a word problem asking for the exact length of the diagonal of a rec
Dividing surds using the quotient rule
I am in SS 1. I'm going to explain simplifying a quotient of surds using the rule root a d
Surds combined with algebraic terms
I am in SS 1. Give me a Cambridge IGCSE Additional Mathematics style exam question on simp
Show all working: full surd simplification exam question
I am in SS 1. Teach me a structured exam question requiring simplification, then rationali
Surds in trigonometric exact values
I am in SS 1. Give me a Cambridge IGCSE Additional Mathematics style exam question on why
Surd equation from a geometry context
I am in SS 1. Give me a Cambridge IGCSE Additional Mathematics style exam question on a su