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Describe the 3 types of solution to a quadratic equation

The behaviour of the solution depends on the value of the discriminant, D = b 2 – 4 ac, (aptly named as it allows you to discriminate between solutions) If D > 0: The equation has real roots (the parabola...
GL
Answered by George L. • Maths tutor
3942 Views

For which values of x is the following inequality satsified: x^2 + 6x + 6 < 1

(I assume I can use the whiteboard in an actual lesson/interview) So this question might seem quite simple, and maybe it is, but this type of question can catch many students out. The first step is always to...
NH
Answered by Nabeel H. • Maths tutor
4051 Views

A curve has equation y= e^x -5x, Find the coordinates of the stationary point and show it is a minimum point

differentiating e x gives e x (need to know this), differentiating -5x gives -5 (step the power of the x down by 1 and multiply the original power with the coefficient, power of the x was 1 so becomes 0, x 0...
JC
Answered by James C. • Maths tutor
9185 Views

How do I find the angle between a vector and a plane in cartesian form?

First of all, you should find the angle between the vector and the normal of the plane using the rule cosX= a . b /mod a mod b . The normal can be found easily from the cartesian equation of the plane. For e...
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Answered by Esme S. • Maths tutor
4617 Views

How do we work out the asymptotes of the graph y=1/x -5

In most core 1 papers this kind of question is usually asked. First of all an asymptote is a line that is close to an axis but never touches it. Now look at the graph as a normal reciprocal graph of y=1/x th...
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Answered by Aniqah B. • Maths tutor
9726 Views