Use formulae to solve quadratic equations (b is positive)
In this lesson we will use formulae to solve quadratic equations (b is positive)
Unit: Further Quadratic equations
Lessons:
4 lessons
Use formulae to solve quadratic equations (any value)
In this lesson we will use formulae to solve quadratic equations (any value)
Complete the square (a = 1)
In this lesson we will learn how to complete the square (a = 1)
Solve quadratic equations by completing the square
In this lesson we will learn how to use completing the square to solve quadratic equations.
Units in Express Maths
Units in Algebra (A)
- Negative and Fractional Indices
- Upper and Lower Bounds
- Algebraic Fractions
- Factorise and solve quadratics (a > 1)
- Further Quadratic equations
- Recurring decimals
- Circle Theorems 1
- Circle Theorems 2
- Quadratic Graphs & Cubic and Reciprocal Graphs & Circle Graphs
- Straight Line Graphs 2 & Higher Straight Lines
- Compound Measures & Direct and Inverse Proportion
- Further graphs (Gradients/Area of curves)
- Parts of a circle 1 & 2
- Volume and Surface Area 2 & 3
- Higher Data 1 (CF and Box Plots)
- Histograms
- Quadratic Sequences & Further Algebra
- Algebraic Proof & Functions
- Advanced Trigonometry 1, 2, and 3
- Simplifying & Adding Surds
- Multiplying & Dividing Surds
- Higher Probability (Conditional and Further Set Notation)
- Enlargement and Similarity
- Other Graphs (Trig, Exponetial and Transformations)
- Constructions & Loci
- Simultaneous Equations Linear & Quadratic
- Solve equations numerically (Iteration)
- Higher Vectors 1 & 2
- Types of Numbers & Roots & Indices
- Rounding and Estimating
- Solving Equations 1 & 2
- Solve Inequalities and Represent on Number Line
- Factorise and solve a quadratic (a=1)
- Percentage increase and decrease
- Angle Facts & Parallel Lines
- Polygons 1 & 2
- Straight line graphs 1 & 2
- Quadratic Graphs & Cubic and Reciprocal Graphs
- Ratio 1 & 2
- Volume and Surface Area 2 & Views and Maps
- Scatter Diagrams & Frequency Trees & Averages
- Substitution and Rearranging Formulae & Rules of Indices
- Linear & Quadratic Sequences
- Pythagoras 1 & 2
- Trigonometry 1 & 2
- Repeated Percentage Change
- Standard Form 4 Operations
- Probability 2 & 3
- Rotation and Enlargement
- Similarity
- Simultaneous Equations
- Vectors 2
- Directed Numbers & 4 Rules & Rounding and Estimating
- Fractions 1 & 2
- Expand and Simplify & Factorise Linear & Solving Equations 1 & 2
- Percentages and FPD Equivalence
- Simple Graphs & Straight Line Graphs 1
- Quadratic Graphs & Travel Graphs
- Ratio 1
- Ratio 2 (Ratio and Fractions/Direct Proportion/Best Buy)
- Area and Perimeter & Circles
- Volume and Surface Area 1 (Prisms)
- Charts and tables & Frequency Charts
- Linear Sequences
- Pythagoras Theorem 1
- Pythagoras Theorem 2
- Factors, Multiples, and Primes & Venn Diagrams
- Standard Form Converting & 4 Operations
- Probability 1 & 2
- Bearings & Reflection
- Views and Maps & Constructions
- Solving equations 2 (Simple algebraic fractions)
- Translate and Vectors 1
- Simple Graphs & Straight Line Graphs 1
- Quadratic Graphs & Cubic and Reciprocal Graphs
- Simultaneous Equations Linear & Quadratic
- Quadratic Sequences & Further Algebra
- Simultaneous Equations
- Algebraic Proof & Functions
- Quadratic Graphs & Travel Graphs
- Solving Equations 1 & 2
- Expand and Simplify & Factorise Linear & Solving Equations 1 & 2
- Linear & Quadratic Sequences
- Substitution and Rearranging Formulae & Rules of Indices
- Straight line graphs 1 & 2
- Straight Line Graphs (y=mx+C)
- Simple Graphs
- Other Graphs (Trig, Exponetial and Transformations)
- Linear Sequences
- Solving equations 1 (One step, Two Step and Brackets)
- Collecting like terms, simplifying
- Factorise and solve a quadratic (a=1)
- Factorising (single bracket)
- Rules of Indices
- Graphs of Inequalities
- Travel Graphs
- Higher Straight lines (Perpendicular Lines)
- Algebraic Fractions
- Circle Graphs
- Algebraic Proof
- Solve equations numerically (Iteration)
- Revise - Simultaneous Equations
- Simultaneous Equations (Linear)
- Quadratic sequences
- Further Algebraic Fractions
- Factorise and solve quadratics (a > 1)
- Solving equations 2 (Simple algebraic fractions)
- Further graphs (Gradients/Area of curves)
- Direct and Inverse Proportion
- Further Algebra (Change the subject/Binomial expansion)
- Substitution and Rearranging formulae
- Solve Inequalities and Represent on Number Line
- Cubic and Reciprocal Graphs
- Further Quadratic equations
- Compound measures
- Quadratic Graphs 2 (a>1)
- One linear and one quadratic simultaneous equations
- Quadratic Graphs 1 (a=1)
- Straight Line Graphs 2 (Parallel Lines)
- Revise - Linear and Quadratic Graphs
- Expand and simplify brackets
- Functions