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Find the sum and product of the roots of the equation 2x^2+3x-5=0

We know that for equation ax^2+bx+c=0 a = 2,b = 3,c = -5 If the roots x1 and x2 are real numbers: x1 + x2 = -b/a = -3/2 x1*x2 = c/a = -5/2
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Answered by Pavel G. • Maths tutor
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Find minimum and maximum of x^2+1 if they exist

There are several methods of finding the extrema(plural of extremums or in other words minimum or maximum values) of a function. For now we will analyse the function using the dy/dx of f(x)=y=x 2 +1, f ` (x)...
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Answered by Pavel G. • Maths tutor
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What is the French subjunctive?

The subjunctive is a mood which expresses actions or ideas which have an element of doubt or subjectivity about them. Examples include emotions, will/wanting, possibility, necessity and opinions/judgements. ...
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Answered by Natasha H. • French tutor
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What is a depression?

A depression is a weather system of low pressure which moves across the British Isles from west to east. It involves two air masses which meet at a front. The air masses are tropical maritime which brings wa...
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Answered by Emma H. • Geography tutor
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Differentiate xcos(x) with respect to x

We have two functions multiplied together: x and cos(x). Therefore we have to use the product rule. First differentiate x and leave cos(x) untouched, so we get 1(cos(x))=cos(x). Then differentiate cos(x) and...
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Answered by Ioannis L. • Maths tutor
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