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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 =...

x²+8x +15 = 0
(x+4)²-16 +15=0
(x+4)²-1=0
(x+4)= (+/-)1

x = -3 or -5

The easiest way to do this is to first work out the area of the whole circle. To work out the area of a circle, the equation is area = πr² , w...

To complete this task we use a method called "Completing the square. For this we use a formula (a+b)^2=a^2+2ab+b^2.
Now we see that in the example we have a term x^2 so we put x^2=a^2 so we can ...