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NSW Y8 Maths

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NSW Y8 Maths Equations Simple Quadratic Equations

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Simple Quadratic Equations Theory

A simple quadratic equation involves a variable that has been `squared'. The objective is to isolate this term and to find the square root of the equation.\\ \begin{multicols}{2} \textbf{Example 1}\\ Solve \(2x^2-1=97\)\\ \textbf{Example 1 solution}\\ \(\begin{aligned} 2 x^2 & =97+1 \\ 2 x^2 & =98 \\ x^2 & =\frac{98}{2} \\ x^2 & =49 \\ \therefore x & = \pm \sqrt{49} \\ x & = \pm 7 \end{aligned}\) \columnbreak \textbf{Example 2}\\ Solve \((2 x+1)^2=25\)\\ \textbf{Example 2 solution}\\ \(\begin{aligned} 2 x+1&= \pm \sqrt{25} \\ 2 x+1&= \pm 5 \end{aligned}\)\\ \(\begin{aligned} \text{For } 2 x+1&=5\\ 2 x & =4 \\ x & =2 \end{aligned}\)\\ \(\begin{aligned} \text{For }2 x+1&=-5\\ 2 x & =-6 \\ x & =-3 \end{aligned}\)\\ \(\therefore x=2\) or \(x=-3\) \end{multicols}

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Videos relating to Simple Quadratic Equations.

  • Simple Quadratic Equations - Video - Simple Quadratic Equations - Example 1

  • Simple Quadratic Equations - Video - Simple Quadratic Equations - Example 2

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