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Suppose we have completed the square on y=ax^2+bx+c and attained y=a(x+p)^2+q, where a,b,c,p,q are real numbers with 'a' not equal to zero and p,q can be...

The quadratic formula is the formula that solves any quadratic equation. So, keeping things general, let's begin with a completely general quadratic equation:

ax²+bx+c=0
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The term 'sofa government' refers to a type of informal decision making within government. Unsuprisingly the name comes from the idea that politicians and their advisors would be sat on sofas discussi...

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Firstly put the equation into the the form (x+a)(x+b) this will make things easier later on.

Therefore, an equation such as (x+1)² would become (x+1)(x+1)

Next expand the br...