Question

solve this equation x+1/x=3​

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

The solution for x is (0.38, 2.62).

Step-by-step explanation:

The equation is solved as follows:

$x+\frac{1}{x}=3\\\frac{x^{2}+1}{x}=3\\x^{2}+1=3x\\x^{2}-3x+1=0$

The resultant equation is a quadratic equation.

The roots of a quadratic equation are:

$x=\frac{-b\pm\sqrt{b^{2}-4ac} }{2a}$

Here a = 1, b = -3 and c = 1

Determine the roots as follows:

$x=\frac{-(-3)\pm\sqrt{(-3)^{2}-(4\times1\times1)} }{2\times1}\\=\frac{3\pm \sqrt{5} }{2} \\=(\frac{3-\sqrt{5} }{2} , \frac{3+\sqrt{5} }{2} )\\=(0.38, 2.62)$

Thus, the solution for x is (0.38, 2.62).