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How does the equation of a circle work? What do the individual parts represent?

A student will often see the equation of a circle in the form (x-a) 2 +(y-b) 2 =r 2 . In this instance, a and b simply represent numbers. They are not variables. In fact, a represents the x co-ordinate of th...
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Answered by Milo L. • Maths tutor
4891 Views

How do you solve an algebraic equation?

To solve an algebraic equation you need to rearrange it into the format x=? To do this there are a few rules and few steps R ules: whatever you add or subtract to one side you must also do to the other side ...
RW
Answered by Ruth W. • Maths tutor
3965 Views

Solve (6/x-2)-(2/x+3)=1

Firstly, begin by multiplying both sides of the equation by (x-2) and (x+3), this gives 6(x+3)-2(x-2)=(x+3)(x-2). Expand out the brackets on each side of the equation to give 6x+18-2x+4=x 2 -2x+3x-6. Next, e...
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Answered by Ryan H. • Maths tutor
6709 Views

Factorise the equation below (1)

(1) x 2 + 15x + 56 = 0 56 = 1 x 56, 2 x 26, 4 x 14, 7 x 8 7 + 8 = 15 Hence, factorised equation is (x + 7)(x + 8) = 0
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Answered by Fraser T. • Maths tutor
3645 Views

When (x – 2)^2 + 7 has a minimum value, what is the value of x?

First, expand (x-2) 2 : = (x-2)(x-2), = x 2 - 2x - 2x + 4 = x 2 - 4x + 4 Add on the +7: = x 2 - 4x + 11 complete the square = (x - 2) 2 - 4 + 11 = (x - 2) 2 + 7 when the graph has a minumum value, (x - 2) = ...
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Answered by Tom L. • Maths tutor
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