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As we are considering a quadratic equation, we are looking for two values of x that make the equation equal to 0. To factorise, first look to the constant term (the term without any x) to find 2 numbers t...

Sulfur has the electronic structure [Ne]3s2 3p4. This means there are 2 electrons in the same p orbital. These repel each other making it easier to remove the electron causing the ionisation energy to be ...

Vegetable oils are unsaturated because they contain lots of carbon-carbon double bonds. If we react them with hydrogen at 60oC in the presence of nickel catalyst they will become saturated, also called ha...

To find the gradient of the tangent, we can differentiate to give dy/dx=3x^2+9. We can now put in x=2 to find the gradient at (2,1): 3(2)^2+9=21. Therefore the gradient is 21 at (2,1).

First bring all the x terms to one side by taking 5x from each side, this gives 2x-4=8. Now put all the number terms on the other side by adding 4 to each side, this gives 2x=12. We can now divide both si...