.If x^2 +frac{1}{x^2}=83.Find the value of x^3 -frac{1}{x^3}?

Need help in math. I have math phobia or:Need help in math. I have math phobiaor:Well, you certainly need to learn standard presentation. We use the s

Need help in math. I have math phobia

or:Need help in math. I have math phobia


or: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+83Math is only valid when it describes reality. I question whether the given information describes any real situation.


or: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^2x^4/x^2 + 1/x^2 = 83(x^4 + 1) / x^2 = 83x^4 + 1 = 83x^2x^4 - 83x^2 +1 = 0In general, the Substitution y = x^2 yields the quadratic equation y^2 + by + d = 0which can be solved asy_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.

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