1,278 prompts matching "Find sum and product of roots of x^2 + 4x - 12 = 0"
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Explain finding area under a curve using integration
I am in SS 3. Explain how definite integration gives the area under a curve between two li
Explain the difference between speed and velocity in mechanics
I am in SS 3. Explain the difference between speed and velocity, and between distance and
Quiz me on kinematics equations of motion
I am in SS 3. Quiz me with a short kinematics word problem and check whether I selected th
WAEC Further Mathematics command words explained
I am in SS 3. Explain what WAEC command words like 'evaluate', 'hence', 'show that' and 'd
Explain-back: equilibrium of a rigid body
I am in SS 3. Let me explain what conditions must hold for a rigid body to be in equilibri
Worked example: finding the argument in the correct quadrant
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on findin
Quiz me: vectors and complex numbers mixed
I am in SS 3. Quiz me with one vector magnitude question and one complex number modulus qu
Show all working: mixed matrices and determinants exam question
I am in SS 3. Give me a Cambridge Additional Mathematics style multi-part question combini
Teach me the normal distribution standardisation formula
I am in SS 3. Teach me how and why we standardise a normal random variable using z = (X -
Teach me integration by recognising the reverse of differentiation
I am in SS 3. Teach me how to think of integration as the reverse of differentiation, usin
WAEC Further Mathematics: vectors and geometry combined question
I am in SS 3. Give me a WAEC Further Mathematics style question combining position vectors
Worked Example: The intersection of two overlapping sets
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on the in
Explain Back: The symmetric difference of two sets
I have just studied the symmetric difference of two sets in my SS3 Further Mathematics cla
Worked Example: Collecting like surds in a single sum
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on collec
Quiz: Multiplying two surds and simplifying the result
Act as my SS3 Further Mathematics tutor and quiz me on multiplying two surds and simplifyi
Worked Example: Simplifying an expression carrying both a negative and a fractional index
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Practice: Converting between index form and logarithm form
Act as my SS3 Further Mathematics tutor. Give me five practice questions on converting bet
Worked Example: Finding one over alpha plus one over beta
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on findin
Explain Back: Finding alpha squared beta plus alpha beta squared
I have just studied finding alpha squared beta plus alpha beta squared in my SS3 Further M
Quiz: The factor theorem, and testing whether x minus a is a factor
Act as my SS3 Further Mathematics tutor and quiz me on the factor theorem, and testing whe