1,322 prompts matching "solve x^2+4x+13=0 giving the roots as complex numbers"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Spot my mistake resolving a force
I am in SS 3. I resolved a 20N force acting at 35 degrees to the horizontal into component
Show all working: resultant of forces question
I am in SS 3. Give me a Cambridge Additional Mathematics style mechanics question asking f
Explain when to use binomial versus Poisson
I am in SS 3. Explain the conditions under which I should use a binomial distribution vers
Show all working: combined binomial and normal question
I am in SS 3. Give me a Cambridge Additional Mathematics style question that has a binomia
Teach me equilibrium of forces from scratch
I am in SS 3. Teach me what it means for forces to be 'in equilibrium' as if I have never
Quiz me on equilibrium conditions
I am in SS 3. Quiz me with two short problems testing whether a set of forces is in equili
Teach me 3D vectors from scratch
I am in SS 3. Teach me how vectors work in three dimensions using i, j, k notation, as if
Quiz me on unit vectors
I am in SS 3. Quiz me on finding unit vectors from given vectors in 2D and 3D, and check w
Differentiation practice question #1
I am in SS 3. Give me a differentiation problem where y = x^3 - 4x^2 + 2x, find dy/dx. Let
Integration practice question #1
I am in SS 3. Give me an integration problem where I must find the integral of 4x^3 - 6x +
Show all working: differentiation and stationary points question
I am in SS 3. Give me a Cambridge Additional Mathematics style question requiring differen
Kinematics: equations of motion practice #1
I am in SS 3. Give me a kinematics problem where a car accelerates from 5 m/s to 20 m/s in
Kinematics: equations of motion practice #2
I am in SS 3. Give me a kinematics problem where a ball is thrown vertically upward at 15
Kinematics: equations of motion practice #3
I am in SS 3. Give me a kinematics problem where a body starts from rest and accelerates a
Kinematics: equations of motion practice #4
I am in SS 3. Give me a kinematics problem where a train decelerates from 30 m/s to rest i
Kinematics: equations of motion practice #5
I am in SS 3. Give me a kinematics problem where a stone is dropped from a height of 45m,
Explain time of flight and range in projectile motion
I am in SS 3. Explain how to derive the formulas for time of flight and horizontal range o
Worked example: solving simultaneous equations with matrices
I am in SS 3. Show me one fully worked example of using the inverse matrix method to solve
Worked example: binomial distribution problem
I am in SS 3. Show me one fully worked binomial probability example step by step, then giv
Spot my mistake in a Cramer's rule solution
I am in SS 3. I solved a pair of simultaneous equations using Cramer's rule but I'm not su