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Completing the square is nice and easy. If you have an equasion of the form x²+ax+b=0 then simply rewrite the equasion in the form (x+a/2)²-(a/2)² +b=0. This may sound com...

3(x+4) - 2(4x+1)= 3x + 12 - 8x + 2= 3x - 8x + 12 - 2= -5x + 10

Quadratic equations take the form ax^2 + bx + c = 0. In the case above, a = 0, b = -5, c = -14. In order to solve it, we can factorise the equation into the form (x+c)(x+d) = 0. The answers are then x = -...

steps as follows:x times x = x²2 times 5 = 102 times x = 2xx times 5 = 5xthen add these together:y = x² + 7x +10x = -2, -5; y = 0, 10

This is an example of a simultaneous equation - 2X + Y = 5X + 3Y = 10 You can think of X and Y as apples and oranges from a market. You know that if you buy 2 apples and 1 orange it cost £5, but this does...