Topic 2 - Equations

Flashcards covering the equations and solutions presented in Topic 2 - Equations (Question 3).

$$2x^2 + 3x + 1 = 0$$

A quadratic equation solved by factorising into $(2x + 1)(x + 1) = 0$, giving the solutions $x = -\frac{1}{2}$ and $x = -1$.

$$\frac{x - 2}{3} = \frac{5}{x}$$

An algebraic fraction equation solved by cross-multiplying to form $x^2 - 2x - 15 = 0$, which factors into $(x - 5)(x + 3) = 0$ and yields the solutions $x = 5$ and $x = -3$.

$$\frac{3}{1 - x} - \frac{2}{1 + x} = 1$$

An equation with algebraic fractions solved by multiplying across by the common denominator $(1 - x)(1 + x)$ to obtain $x^2 + 5x = 0$, yielding the solutions $x = 0$ and $x = -5$.

Question 3

A 7-mark examination exercise under Topic 2 requiring students to solve quadratic and rational algebraic equations.