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In order to solve the question, we must find the value of y. First, we collect 'like terms'. This is when we put all the numbers on one side of the equals sign and put all the terms with y in it on the ot...

Firstly, we have to factorise the quadratic equation. So what this involves is finding two numbers which add up to 7 but also multiply to give 10 at the same time. To help you with this we can find common...

Step 1: Rearrange equation to form x² + bx + c= 0  -Add 10 to both sides of equation: x²-7x +10=0 Step 2: Factorise the quadratic equation -Find tw...

Write 2x²+ 12x + 3 in the form p(x + q)²+ r Step 1: Factorise all the x terms using a common factor with brackets. In this case 2 is a common factor to both 2x²and 12x ===...

To show that the line is a diameter of the circle you muct show that it goes through the centre of the circle1) finding the centre of the circle. The general eqn is (x-a)² + (y-b)² =...