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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
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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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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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Given that 346 × 27 = 9342 , work out 34.6 × 2.7

Lets compare the numbers in the question: 34.6 x 2.7 is the same as 346/10 x 27/10 (decimal to fraction) therefore... 34.6 x 2.7 is the same as ( 346 x 27 ) /100 (multiplying top & bottom) so if 346 × 27...
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Answered by Andrew W. • Maths tutor
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Factorise x² + 10x + 16

This is a quadratic equation. When we are asked to facorise a quadratic equation, we should label the 3 parts of it a, b and c. x² + 10x + 16 a b c so a = 1 , b = 10 , c = 16 Now, we need to find two numbers...
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Answered by Andrew W. • Maths tutor
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