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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...

Start by using the formula d = sqrt((x₂-x₁)²+(y₂-y₁)²)Therefore, substituting in our coordinates from P and Q:Length PQ = sqrt((-8-4)^...

2cot2x= 2(1/tan2x)= 2(1/(2tanx/1-tan²x))=2(1-tan²x)/2tanx= (1-tan²x)/tanx(1-tan²x)/tanx +tanx=(1-tan²x)/tanx +tan²x/tanx=1/tanx=cotx

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 ...