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Here you need to use the quadratic formula, it cannot be solved by expanding out the brackets. In the formulae for which can be found on the formulae sheet. In this case a=5, b=8 and c=2.
The key point to remember when dealing with an algebra equation is that whatever operation you carry out on one side of the equation, you MUST do to the other side as well.
To solve this ...
A simple way to differentiate an equation with respect to x is to reduce each x components power by one and multiply each x component by their original power.
Looking at the equation y = ...
First of all we need to rearrange the equations in a way which allows us to get rid of either the x or y variable.
To do this we need to have either the same number of x's or same number ...
A good approach to solve this is to use the chain rule of differentiation. The chain rule states: dy/dx= (dy/du)*(du/dx).
In this case let u = 1+3x, so y = u^2.
Then dy/du =...
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