2x² + 5x − 3 = 0
x = ½, −3
- Linear & quadratic equations
- Simultaneous equations
- Logarithms & exponents
- Factorisation methods
All Mathematics Lessons
Showing 13 topics
sin²θ + cos²θ
1
- Sine, cosine & tangent ratios
- Identities & unit circle
- Sine rule & cosine rule
- Trigonometric equations
Mean[2,4,6,8]
5
- Mean, median & mode
- Standard deviation
- Probability & distributions
- Data representation
lim x→0 sin(x)/x
1
- Definition of a limit
- One-sided limits
- Continuity of functions
- L'Hôpital's Rule
d/dx (x⁴)
4x³
- Power, product & chain rules
- Rates of change
- Turning points & optimisation
- Implicit differentiation
∫ 3x² dx
x³ + C
- Indefinite integration
- Definite integrals
- Area under a curve
- Integration by substitution
|AB⃗|
√(x²+y²)
- Vector addition & subtraction
- Magnitude & direction
- Dot product
- Position vectors
det(A)
ad − bc
- Matrix operations
- Determinants & inverses
- Solving linear systems
- Geometric transformations
x²/a² + y²/b²
1
- Circles & ellipses
- Parabolas & hyperbolas
- Standard form equations
- Focus & directrix
Sn = n/2(a+l)
AP Sum
- Arithmetic progressions
- Geometric progressions
- Sum of series
- Convergence tests
i²
−1
- Real & imaginary parts
- Argand diagrams
- Modulus & argument
- Complex arithmetic
Area △
½ bh
- Area of plane shapes
- Composite figures
- Surface area of solids
- Sector & segment area
V = πr²h
Cylinder
- Prisms & cylinders
- Pyramids & cones
- Spheres & hemispheres
- Composite solids
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