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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 has ...
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Answered by Alin G. • Maths tutor
17443 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 sense to use t...
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Answered by Samantha C. • Maths tutor
4715 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 th...
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Answered by Alin G. • Maths tutor
3044 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 is f...
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Answered by Francisco T. • Maths tutor
2661 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 isolat...
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Answered by Harrison W. • Maths tutor
4348 Views