Search over 10,000 free study notes

First, label the equations 1 and 2:1: 7x+y=1 and 2: 2x^2-y=3Rearrange equation 2 in terms of yy=2x^2-3Now substitue the rearranged version of equation 2 into 1 to give7x+2x^2-3=1.Bring all the values to t...

Only factors of 2 are 1 and 2, therefore solution will take form of (2x + a)(x + b) to get 2x² term. Only factors of 3 are 1 and 3 therefore a and b are either 1 or 3. Playing around and intuit...

First notice that no simplifications can be made to the problem without changing the form. We start by factorising the numerator. The highest power of x in this question is 2, therefore we know that it ha...

When multiplied together the gradients of perpendicular lines should give the answer - 1So: x₁x₂ = -1x₁ = 2 x₂ = -1/2It crosses through the point (1,2)y = ax+ b...

We know the values for the 2nd and 5th terms and already have the 2nd term as an equation but not the 5th. Therefore, we need to start by working out what exactly the 5th term is in terms of a and b. From...