1,278 prompts matching "Find sum and product of roots of 2x^2 - 5x + 3 = 0"
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Learn: Resolving the weight along and perpendicular to an inclined plane
You are my personal SS3 Further Mathematics tutor. Teach me resolving the weight along and
Learn: Angular velocity, and how it relates to linear speed
You are my personal SS3 Further Mathematics tutor. Teach me angular velocity, and how it r
Worked Example: The acceleration of a body moving round a circle at constant speed
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on the ac
Quiz: The centripetal force, and what supplies it in a given situation
Act as my SS3 Further Mathematics tutor and quiz me on the centripetal force, and what sup
Practice: The maximum speed and the maximum acceleration in simple harmonic motion
Act as my SS3 Further Mathematics tutor. Give me five practice questions on the maximum sp
Practice: The difference between an elastic string and a spring in compression
Act as my SS3 Further Mathematics tutor. Give me five practice questions on the difference
Spot my mistake: Negating the leading diagonal and swapping the other two entries when inverting a 2 by 2 matrix
Act as my SS3 Further Mathematics tutor. Write a short answer on negating the leading diag
Spot my mistake: Treating the kilogram and the kilogram weight as the same unit
Act as my SS3 Further Mathematics tutor. Write a short answer on treating the kilogram and
Show that command word: three points are collinear
I am in SS 3. Set me a 'show that' coordinate geometry question where I must show three gi
Show that command word: binomial coefficient identity
I am in SS 3. Set me a 'show that' question involving binomial coefficients, such as showi
Show that command word: a function is its own inverse
I am in SS 3. Set me a 'show that' function question where I must show a given function is
Evaluating a function at an algebraic input
I am in SS 3. Quiz me with 3 short Additional Maths questions on evaluating a function at
Structured word problem: market trader's geometric savings
I am in SS 3. Give me a structured geometric progression word problem where a market trade
WAEC exam question: forming a quadratic equation from a word problem
I am in SS 3. Give me a WAEC-style Further Maths word problem, such as one about two numbe
Solve simultaneous equations using an inverse matrix #1
I am in SS 3. Show me how to write 2x + 3y = 7 and x - y = 1 as a matrix equation, find th
Solve simultaneous equations using an inverse matrix #2
I am in SS 3. Show me how to write 4x + y = 9 and 2x + 3y = 8 as a matrix equation, find t
Solve a 3x3 system using the inverse matrix method #1
Show me how to solve the system x+y+z=6, 2x-y+z=3, x+2y-z=2 by writing it as AX=B, finding
Solve a 3x3 system using the inverse matrix method #2
I am in SS 3. Show me how to solve the system 2x+y-z=5, x-y+2z=1, 3x+2y+z=10 by writing it
WAEC past-question practice: inverse matrices #1
I am in SS 3. Give me a WAEC Further Mathematics past-question on finding the inverse of a
Differentiation practice question #2
I am in SS 3. Give me a differentiation problem where y = (2x+1)(x-3), find dy/dx using th