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How can we determine stationary points by completing the square?

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 expressed in terms of a,b,c. For a>0 we have a min...
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Answered by Hayk Y. • Maths tutor
16391 Views

How do you derive the quadratic formula?

The quadratic formula is the formula that solves any quadratic equation. So, keeping things general, let's begin with a completely general quadratic equation: ax 2 +bx+c=0 This is completely general because ...
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Answered by Aneesh N. • Maths tutor
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What is meant by the term 'sofa government'?

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 discussing pote...
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Answered by Sam F. • Politics tutor
49933 Views

Briefly outline some of the difficulties third parties in the U.S face when trying to secure electoral campaign funding.

Third parties in the U.S face a number of difficulties when competing against the two dominant parties, those of the Republican party and the Democratic party. There are two important factors to consider. Th...
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Answered by Sam F. • Politics tutor
5953 Views

How do I expand a factorised equation?

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 brackets. To do this simply multipl...
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Answered by Emily G. • Maths tutor
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