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5 x-3 =7 2x+1 log 5 5 x-3 =log 5 7 2x+1 x-3=(2x+1)log 5 7 x-2xlog 5 7=3+log 5 7 x(1-2log 5 7)=3+log 5 7 x=(3+log 5 7)/(1-2log 5 7)

If you are given a simple quadratic equation, for example x 2 +6x+8=0, then in order to factorise this you must find two numbers that add together to make the coefficient of x in the equation (in this case t...

Question: Line A has a gradient of 4 and passes through point (5,6). Line B passes through points C (0,5) and D (2,0). Find the coordinates of the point where the two lines intersection. Solution: First of a...

In general, we could apply the formula to work out the solutions of a quadratic function ax 2 +bx+c=0. The b 2 -4ac part is called the discriminant and the value of a discriminant could allow us to know the ...

Take this problem as an example: 5 white socks and 3 black socks are in a drawer. Stefan takes out two socks at random. Work out the probability that Stefan takes out two socks of the same colour without rep...