### Worked Examples – Quadratic Equations

Worked Examples – Quadratic equation Methods to solve a quadratic equation are: Square Root Method Quadratic FormulaFactoring Completing the square Graphing We have four types of quadratic equations 1. Quadratic equations in the standard form $displaystyle a{{x}^{2}}+bx+c=0$ We can solve them by using the quadratic formula, graphing or factoring and completing the square. 2. Quadratic […]

### Worked examples – First degree equations

Worked Examples – First degree equations Based on what we have explained to the article First degree Equations, we are going to solve some equations below: Example 1 Solve the equation: a) $displaystyle 5x=-60$$displaystyle x=frac{{-60}}{5}$$ displaystyle x=-12$ b) $displaystyle -3x=-9$$displaystyle x=frac{{-9}}{{-3}}$$ displaystyle x=3$ c) $displaystyle frac{1}{3}x=12$$displaystyle x=frac{{12}}{{frac{1}{3}}}=12cdot 3$$ displaystyle x=36$ d) $displaystyle x=-x$\$ […]

### Simultaneous linear equations

Simultaneous linear equations What are simultaneous equations? Simultaneous equations are a set of two or more equations, each containing two or more variables whose values can simultaneously satisfy both or all the equations in the set, the number of variables being equal to or less than the number of equations in the set. Simultaneous linear […]