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Quadratic Equations
Doing past papers is essential to making progress in maths.� At first, past papers can be difficult and may take a long time to do, but if you stick at them, and do them regularly, then you should gradually notice that questions and methods become familiar the more you do. You will naturally speed up. The key is to never give in and also realise that there is often more than one way of tackling a question. It is good to experiment with different methods and compare the advantages and disadvantages of one method over another. If you can do this then you will be all the more better for trying it. Check out the AQA mark scheme and examiners report for furt. View the HSC Mathematics Extension 2 Exam Paper solutions with detailed explanations for multiple choices and extended response questions.� In this post, we will work our way through the HSC Maths Extension 2 exam paper and give you the solutions, written by our Head of Mathematics Oak Ukrit and his team. Read on to see how to answer all of the questions. Section 1. Multiple Choice.� Implicit differentiation on the equation found in part (i) gives us that \begin{align*} 2x + y + x \frac{dy}{dx} + 2y \frac{dy}{dx}&=0 \\ \frac{dy}{dx}(x+2y)&=-2x-y\\ \frac{dy}{dx}&=\frac{-2x-y}{. x+2y} \end{align*} Thus, when \(x=30\) and \(y=50\), we have that \(\frac{dy}{dx}=\frac{-2\cdot 30 � 50}{30 + 2(50)} = \frac{}{} = \frac{}{13}\). I have a Bachelor of Science (Math) (Merit)(Singapore), a Business Degree and I am currently pursuing a Master Degree in Education (Part-Time). I have a total of 21 years experience tutoring secondary school students. I specialize in tutoring Singapore syllabus O-Level Elementary Math (E-Math), Additional Math (A-Math) and Sec 1 and 2 Math. From I offer Small Group Tuition in Woodlands and Johor Bahru. My students reside in the North i.e. Sembawang, Choa Chu Kang, Yishun, Yew Tee, Admiralty and of course Woodlands. Related Posts. Good Luck for your O-Levels.

The name Quadratic comes from "quad" meaning square, because the variable gets squared Equations For Maths Paper 2 Jpg like x 2. It is also called an "Equation of Degree 2" because of the "2" on the x. Play with the " Quadratic Equation Explorer " so you can see:. It is called the Discriminant , because it can "discriminate" between the possible types of answer:.

Complex solutions? Let's talk about them after we see how to use the formula. It was all over at 2 am. It means our answer will include Imaginary Numbers.

Hide Ads About Ads. Quadratic Equations An example of a Quadratic Equation : Quadratic Equations make nice curves, like this one: Name The name Quadratic comes from "quad" meaning square, because the variable gets squared like x 2. The " solutions " to the Quadratic Equation are where it is equal to zero. They are also called " roots ", or sometimes " zeros ". We can Factor the Quadratic find what to multiply to make the Quadratic Equation.

Or we can use the special Quadratic Formula : Just plug in the values of a, b and c, and do the calculations. We will look at this method in more detail now. Hard Questions: 1 2 3 4 5 6 7 8. This one is a little more tricky: Where is a? Expand undo the brackets , and move 5 to left.

Make point:

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