Quadratic Equations

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Solve the equation for $x$ : $ $\frac{x+1}{x-1} + \frac{x-1}{x+1} = \frac{8}{3}.$ $

x = -7

and

x = 7

x = -\sqrt{7}

and

x = \sqrt{7}

x = \frac{3 - \sqrt{73}}{8}

and

x = \frac{3 + \sqrt{73}}{8}

x = -\sqrt{\frac{1}{3}}

and

x = \sqrt{\frac{1}{3}}

Solve the equation: $2x^4 - 9x^2 + 4 = 0$ .

x = 2

x = \frac{1}{\sqrt{2}}

x = 2

x = -2

x = \frac{1}{\sqrt{2}}

x = -\frac{1}{\sqrt{2}}

x = \pm \sqrt{2}

x = \pm 1

x = 2

x = -2

x = \frac{1}{2}

x = -\frac{1}{2}

The width $w$ (in meters) of a rectangular garden satisfies $w^2 - w - 7 = 0$ . Solve for $w$ .

\frac{-1 \pm \sqrt{29}}{2}

\frac{1+\sqrt{29}}{2}

and

\frac{1-\sqrt{29}}{2}

1 \pm \sqrt{29}

\frac{1 \pm \sqrt{29}}{4}

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