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x 2 +6x+5=0 First of all half the x coefficient and write (x+6/2) 2 the take away the (6/2) 2 and add on the 5 (x+3) 2 -9+5=0 (x+3) 2 -4=0 Simplify the expression (x+3) 2 =4 Move 4 to the other side of the e...

y=5x 2 -2x+3 Differentiate to find the equation of the gradient of the curve dy/dx=10x-2 Substitute x=0 to find the gradient at the point x=0 dy/dx=-2 y=5 0^2-2 0+3 Substitute x=0 into the original equation ...

4e^2 + 8e

First we look to see if there is a common factor in the equation. In this case there is a common factor of 3, therefore we can take 3 out as a factor. 3(x 2 +5x +6) = 0 The inside of the bracket is now a sta...

In order to answer this question, the expression on the left side of the equation needs to be factorised. This can be done in three stages. 1) finding a factor by subbing in common integers (0, +/- 1, +/-2, ...