Need help in math. I have math phobia
Answers (2)
Well, you certainly need to learn standard presentation. We use the slash for fractions:
x^2 + 1/x^2 = 83
Here is a partial solution:
www.wolframalpha.com/input/?i=solve++x%5E2+%2B+1%2Fx%5E2+%3D+83
Math is only valid when it describes reality. I question whether the given information describes any real situation.
x^2 + 1/x^2 = 83 can easily be written as a biquadratic equation of the form:
x^4 + bx^2 + d = 0.
x^2 + 1/x^2 = 83 ;;; common denominator is x^2
x^4/x^2 + 1/x^2 = 83
(x^4 + 1) / x^2 = 83
x^4 + 1 = 83x^2
x^4 - 83x^2 +1 = 0
In general, the Substitution y = x^2 yields the quadratic equation
y^2 + by + d = 0
which can be solved as
y_1,2 = -b/2 +- sqrt(b^2 / 4 - d)
which in turn gives you
x_1,2 = +- sqrt(y_1), x_3,4 = +- sqrt(y_2)
I hope that helped. You've just to plug in the values and you're done.
And finally you compute y = x^3 - x^-3 for each of the four solutions.
LaTeX is a standard way for writing papers in STEM-subjects. And LaTeX uses this kind of markup for fractions.
Considering the formal mess we are "occasionally" presented with, I find this presentation quite appealing.