x

What makes an equation quadratic?

What makes an equation quadratic?

Graph of the quadratic y=(x+2)(x-3) crossing the x-axis at -2 and 3, with roots labelled

A quadratic equation has a squared term as its highest power, such as x2−x−6=0x^2-x-6=0x2−x−6=0. The graph above is of y=(x+2)(x−3)=x2−x−6y=(x+2)(x-3)=x^2-x-6y=(x+2)(x−3)=x2−x−6, so its roots are x=−2x=-2x=−2 and x=3x=3x=3. In this lesson, we focus on equations of the form x2+bx+c=0x^2+bx+c=0x2+bx+c=0, where the coefficient of x2x^2x2 is 1.

Solving Quadratics Lesson

  1. GCSE
  2. /Maths
  3. /Solving Quadratics

Step-by-step lessons covering OCR GCSE Maths Solving Quadratics for Foundation and Higher tier. Each lesson works through exam-style questions in the written papers format. Build fluency with number, ratio and algebra first, since geometry, probability and statistics topics rely on them, and leave extra time nearer the exam for Higher-tier problem-solving and multi-step reasoning questions.

Lessons

Writing a Ratio as a Fraction or Linear FunctionDirect and Inverse ProportionReverse PercentagesStandard FormSpeed and DensityChanging the Subject of a FormulaExpanding and Factorising QuadraticsSolving QuadraticsDrawing Quadratic GraphsSimultaneous EquationsSolving Simultaneous Equations GraphicallyGradient of a LineEquation of a LineSpheres and ConesSector Areas and Arc LengthsSimilar Shapes (Lengths)Exact trig valuesProbability TreesVenn Diagrams