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The equation kx^2 + 4x + (5 – k) = 0, where k is a constant, has 2 different real solutions for x. Show that k satisfies k^2-5k+4>0.

This questions is a proof type question, which means that you need to get to a specific formula. Usually, these questions give you clues in order to prove it. In this case it tells you that the equation h...

Answered by Alin G. Maths tutor
14979 Views

Find an equation for the straight line AB , giving your answer in the form px+qy=r, where p, q and r are integers. Given that A has co-ordinates (-2,4) and B has co-ordinates (8,-6)

We know 2 equations for a straight line; Y=MX+C and Y-B=M(X-A). Since we do not have the y intercept (C) or any means of finding it but we do have 2 points on the straight line, it would make sen...

Answered by Samantha C. Maths tutor
3575 Views

Find the equation of the straight line passing trough the points (-2,1 ) and (1, 4).

Firstly you need to understand the question. It asks for the equation of a straight line, which is linear, thus of the form y = mx+c. Now, knowing that the equation is of that form we firstly need to find...

Answered by Alin G. Maths tutor
2224 Views

How can we calculate the maximum and minimum points of a function?

The derivative of a function in a point is, by definition, the slope of the tangent line to the function in that point. In a point that is a maximum or a minimum, one can easily picture that the tangent i...

Answered by Francisco T. Maths tutor
1585 Views

Solve these simultaneous Equations: 4y-2x=8 and 2x-y=7

So there are many different ways of solving this equation, one being that u can find out what one of the values of x and y are and then putting the answer of the value back in the equation. The way to iso...

Answered by Harrison W. Maths tutor
3296 Views

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