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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 =...
x2+8x +15 = 0(x+4)2-16 +15=0(x+4)2-1=0(x+4)= (+/-)1x = -3 or -5
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