How to solve (x)^(2)+(1)/(x)6

1. Factor the equation (x + 2)(x + 3) = 0. 2. Set each factor equal to zero: x + 2 = 0 and x + 3 = 0. 3. Solve for x: x = -2 and x = -3.

Solve (x)^(2)+(1)/(x)6 | Equatix

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$${ x }^{ 2 } + \frac{ 1 }{ x } 6$$

$\frac{x^{3}+6}{x}$

Express $\frac{1}{x}\times 6$ as a single fraction.

$$x^{2}+\frac{6}{x}$$

To add or subtract expressions, expand them to make their denominators the same. Multiply $x^{2}$ times $\frac{x}{x}$.

$$\frac{x^{2}x}{x}+\frac{6}{x}$$

Since $\frac{x^{2}x}{x}$ and $\frac{6}{x}$ have the same denominator, add them by adding their numerators.

$$\frac{x^{2}x+6}{x}$$

Do the multiplications in $x^{2}x+6$.

$$\frac{x^{3}+6}{x}$$

$\frac{x^{3}+6}{x}$