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How do I know how many roots a quadratic equation has?

Let ax 2 + bx + c = 0 be the equation in question where a,b,c are real numbers with a not equal to 0 (otherwise we would not have a quadratic). If: b 2 - 4ac > 0 then there are two (real) roots b 2 - 4ac ...
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Answered by Amit G. • Maths tutor
10368 Views

What is the difference between descriptive and analytical writing? Which is better?

In order to break into the top bands in any GCSE literature essay, a student must write analytically, not descriptively. Rather than merely detailing what has happened in a story, one should strive to explai...
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Answered by Nicholas O. • English tutor
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How do you differentiate (3x+cos(x))(2+4sin(3x))?

Here we have a product of two things, so we will be using the product rule of differentiation. This is: for y=u(x)v(x), where u(x) and v(x) are funtions of x, dy/dx = u'(x)v(x) + u(x)v'(x). So in this case l...
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Answered by Jaisal P. • Maths tutor
6102 Views

How can we analyse the differences between political ideologies?

Analysis is task that is often ambiguous to undertake. To help your A-level politics studies I shall show you, with a concrete example, how to go about analysing the differences in political ideologies. Whil...
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Answered by Ciaran C. • Politics tutor
9659 Views

A 2 kW electric fire is switched on for 30 minutes. How many Units of electricity does it use?

Units of electricity are measured in kWh (kilowatt-hours). We have our power in kW (2 kW) We have our time in minutes (30 minutes) Looking at the units, we can see that: kW x minutes = kWminutes (kWm) and kW...
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Answered by Andrew W. • Physics tutor
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