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The roots of the equation z^3 + 2z^2 +3z - 4 = 0, are a, b and c . Show that a^2 + b^2 +c^2 = -2

If the roots of this cubic equation are a, b and c, then the equation can be written(z - a)(z - b)(z - c) = 0multiplying this out gives:z^3 - az^2 - bz^2 - cz^2 + abz + acz + bcz - abcgrouping terms with z t...
EH
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How do you order pronouns in the affirmative imperative in French?

The imperative mood is used when giving commands to a number of persons : either the 2nd person singular 'tu', the 1st person plural 'nous' or the 2nd person plural 'vous'. Whilst negative constructions of t...
LR
Answered by Lauren R. • French tutor
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What is meant by an excited atom?

All that is meant by an 'excited' atom is that one or more of the atoms electrons in it's shells, are then excited into shells that are in higher energy states that they were in before. Furthermore, electron...
RW
Answered by Rebecca W. • Physics tutor
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Describe how the strong nuclear force between nucleons varies with seperation of the nucleons.

At short distances between the nucleons at roughly 3 femtometers or so, the strong nuclear force between two nucleons begins to overcome the electrostatic repulsion (if both or one nucleon is a proton). The ...
RW
Answered by Rebecca W. • Physics tutor
18713 Views

How does eutrophication work?

Fertilisers containing nitrogen are washed from fields to rivers and ponds. 2. This effectively fertilises the algae in the pond causing an 'algal bloom'. 3. The layer of algae on the surface stops sunlight ...
IH
Answered by Iona H. • Biology tutor
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