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How do I use the bow-tie circle theorem?

To explain this question, I would first draw a digram of a circle. Then I woud add a chord and create triangles with vrtices at the circumference of the circle which all have the chord as a base. Next, I ...

Answered by Ivana T. Maths tutor
6108 Views

Using the following quadratic equation, find x: x2 + 3x -4

x2 +3x -4. (x + a) (x - b) x has no co-efficient so each is 1 x.  next find two numbers with a product of -4 and a sum of +3.  cannot be 2,2 as these numbers have a sum of -4, 0 or +...

Answered by Jake C. Maths tutor
3376 Views

Express (5x + 4)/(x +2)(x - 1) in partial fractions.

To put this equation into partial fractions we need to consider it in the form: (5x + 4)/(x +2)(x - 1) = A/(x + 2) + B/(x - 1) where A and B are numbers we are trying to find. To do this we need to multip...

Answered by Emma W. Maths tutor
4701 Views

Given the equation 3x^2 + 4xy - y^2 + 12 = 0. Solve for dy/dx in terms of x and y.

Here the key is to remember to differentiate with both x and y with respect to x, where the differential of y is dy/dx. Consider the first term, 3x2 : This differentiates to 6x. This is done by...

Answered by Emma W. Maths tutor
4078 Views

Why do square roots have more than 1 solution?

As 3 is equivalent to (-3)2 it follows that the square root of 9 must be + or -3.

Answered by Masudul H. Maths tutor
2600 Views

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