Factorising Completing the Square Simultaneous Equations Quadratic Equations Gradient Lines Intersection of Graphs Quadratic Graphs Inequalities Graph Transformations Circles Rational Expressions Sequences and Series Iteration Ratio,proportion and rates of change Percentages Geometry and Measures Sectors:Area and Arc...
Completing the Square Simultaneous Equations Quadratic Equations Gradient Lines Intersection of Graphs Quadratic Graphs Inequalities Graph Transformations Circles Rational Expressions Sequences and Series Iteration Ratio,proportion and rates of change Percentages Geometry and Measures Sectors:Area and Arc Length Py...
3Complete the square x2+4x−5=0(x+2)2−9=0(x+2)2=9x+2=±√9x=3−2=1x=−3−2=−5x2+4x−5=0(x+2)2−9=0(x+2)2=9x+2=±9x=3−2=1x=−3−2=−5 Step-by-step guide: Completing the square 4Graphically x2+4x−5=0x2+4x−5=0 The solutions/roo...
Solving the quadratic equation in one variable by the method of completing the square can be summarized into the following steps: (1) Shifting the term keeps the quadratic term and the primary term on the left side of the equation, and "isolates" the constant on the right side of the equa...
054. GCSE Maths - How to Solve a Quadratic by Completing the Square (Part 2 - So 03:35 055. GCSE Maths - Types of Number Sequences - Arithmetic vs Geometric #54 05:51 056. GCSE Maths - How to Write Expressions for the nth term of Arithmetic Seque ...
sequencesThe nth termFactorising quadratic equations : exampleSolving quadratic equations by completing the squareThe quadratic formulaEquations with algebraic fractionsProblems involving quadratic equationsPlotting quadratic graphsSolving quadratic equations : exampleReal-life plots and graphsSolving simultaneous ...
Contents expanding brackets I factorisation I indices I algebraic fractions I simple equations - changing the subject I simple equations - substitution/evaluation I simple equations - trial & improvement I simultaneous equations I quadratic equations – completing the square I quadratic equations – ...
Solving a quadratic equation by completing the square Quadratic equations with no solution 2. Inequalities (F & H) Inequalities Solving inequalities Inequalities on number lines Graphical inequalities More than one inequality 3. Patterns and sequences (F) ...
2) Rearrange by the completing the square, we get: h = -16[t2 - 4t - 5] h = -16[(t - 2)2 - 9] h = -16(t - 2)2 + 144 When the height is maximum, t = 2; therefore, maximum height = 144m. 3) When the ball hits the ground, h = 0; -16t2 + 64t + 80 = 0...
Topics new to Higher tier • Expand the products of more than two binomials • Interpret the reverse process as the 'inverse function'; interpret the succession of two functions as a 'composite function' (using formal function notation) • Deduce turning points by completing the square ...