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How do I know how many solutions a quadratic equation has?

A quadratic equation is an equation that looks like: x 2 + 4x - 2 = 0. The general form of this is written as ax 2 + bx + c = 0, where a, b and c are all numbers, and x is our unknown variable. In the exampl...
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Answered by Nathan C. • Maths tutor
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To differentiate a simple equation: y= 4x^3 + 7x

y = 4x^3 + 7 x Recall: to differentiate any function of the form y = x^n dy/dx = y' = n x^(n-1) Hence if y = 4x^3 + 7x dy/dx = 4 ( 3x^3 -1) + 7x^(1-1) = 12 x^2 + 7
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How do I write an introduction?

First of all look at the question: make sure you understand all the key words and that you know exactly what you are being asked. Then 1) give a definition of how you understand these key words 2) take a sta...
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Answered by Phoebe W. • English tutor
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How to factorise

For example: 5x +25 In order to factorise we need to find a common factor for both '5x' and '25'. This factor gets taken outside of the brackets. For this example the common factor is 5. Because you can divi...
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Answered by Emily C. • Maths tutor
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Solving equations with unknown in both sides

Given, 8x - 8 = 2x + 10 Solution: To solve this kind of problem, the first step is to always collect the like terms together i.e. Take the terms with x to one side of the equal sign and the numbers to the ot...
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