Worked Examples – Quadratic Equations

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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

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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$ […]

Simultaneous linear equations

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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 […]

Quadratic Equation

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Quadratic equation What is a quadratic equation? A quadratic equation is an equation of degree 2 with one variable and that can be written as: x² + bx + c = 0, where a≠0, a, b, c are the coefficients and x is the variable. The number of roots of a quadratic equation is less or equal to the number of its degree. […]

Equations. First degree equation

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First degree equation What is an equation? An equation in mathematics is a statement that links 2 expressions with the equal symbol. One of the basic type of equations are the first degree equations,that can be called as ‘’Linear equations”. Linear Equations with one variable A linear equation is an equation that represents a line on […]