Mathematics
High School (9–10)
General
Algebra › Quadratic EquationsAlgebra › PolynomialsChapter 4Contains Standard contentQuadratic Equations
A ball thrown up comes down again, and a garden of a given area has a length that you can find. Both lead to an equation with a squared term: a quadratic equation. In this chapter you learn to recognise such equations, to solve them by factorising, by completing the square and with the quadratic formula, and to tell from the discriminant how many roots there are. Python solves and checks equations by the hundred.
Part of Mathematics · High School (9–10) (chapter 4)
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Solving Quadratic Equations by Factorising
Spot a quadratic equation, write a word problem as one, and solve it by splitting the middle term. Then check each root, and decide which roots make sense for the problem.
The Quadratic Formula and the Nature of Roots
Complete the square, and turn it into the quadratic formula that solves every quadratic equation. Then read the discriminant to know, before solving, whether there are two roots, one or none.