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Solve equation 1/x + x^3 + 5x=0

For x!=0, multiply the equation by x to get x^4+5x^2+1=0. Then substitute t=x^2 where t>=0. So the equation has a form t^2+5t+1. Then find the discriminant and two roots. One of the roots t2<0 doesn...

JO
Answered by Jakub O. Maths tutor
4084 Views

Is a line ax+by+c=0 tangent to a circle?

Get a line a form y=-ax/b-c/b, then substitute into a cirle equation (x-p)^2 +(y-s)^2=r^2. Get a quadratic and find whether a discriminant is equal to zero. If it is then the line is tangent to a circle. ...

JO
Answered by Jakub O. Maths tutor
8807 Views

Evaluate the use of monetary policy to achieve macroeconomic objectives.

When talking about a state employing "monetary policy" to achieve macroeconomic objectives (low and steady rate of inflation and growth; low unemployment; stability in the balance of payments), ...

FS
Answered by Florian S. Economics tutor
10395 Views

How to structure an A-level History essay?

The important part to any History A-Level is the structure, as it not only shows the examiner your understanding of the question but also your level of knowledge. As an effectively structured argument can...

IH
Answered by Imogen H. History tutor
13491 Views

How do you find the prime factorisation of a large number like 420?

You start by dividing 420 by whichever numbers you know that it is divisible by.

420 is obviously divisible by 10 so you can start with 10 x 42.

Then, you factorise 10 and 10 = 2 x...

AA
Answered by Abisayo A. Maths tutor
3366 Views

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