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We know that if we have a polinomial of the form ax^2 + bx + c = 0, then:sum of the roots = -b/a and product of the roots = c/a Therefore: t + (t + 4) = -p/5 and t(t + 4) = q/5 Therefore: 2t + 4 = -p...

For all simultaneous equations it is useful to number each one to keep your working clear and concise. In order to solve this we need to eliminate one of the variables (x or y) by manipulating the equatio...

5x + 3y = 27 (1)6x - 2y = 10 (2)Rearrange (1) to make x the subject.Subtracting - 3y from both sides gives5x = 27 - 3yDivide both sides by 5 givesx = (27 - 3y)/5Substitute (1) into (2) gives6(27 - 3y)/5 -...

For this question you can use a method called the foil method. The F stands for first therefore you times the 2 variables that are first in each bracket. 2x times x which gives you 2x^2. The O stands for ...

We can use trigonometry to answer this question using the following steps: Sketch the question out Label the right angled triangle correctly (using information in the question)Identify the correct equatio...