Solve Equations That Are Quadratic in Form
Solve the Equation $$x ^ { - 2 } + 12 x ^ { - 1 } + 34 = 0$$

question 129

Multiple Choice

Solve Equations That Are Quadratic in Form
Solve the equation by making an appropriate substitution.
- $$x ^ { - 2 } + 12 x ^ { - 1 } + 34 = 0$$

• A) \(\left\{ \frac { - 6 \pm \sqrt { 2 } } { 34 } \right\}\)
• B) \(\left\{ \frac { - 6 \pm 2 \sqrt { 2 } } { 34 } \right\}\)
• C) \(\left\{ \frac { 6 \pm \sqrt { 2 } } { 34 } \right\}\)
• D) \(\left\{ \frac { - 6 \pm \sqrt { 2 } } { 38 } \right\}\)

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Definitions:

Groundwater Flowing

The movement of water beneath the Earth's surface through soil and rock formations.

Subsurface Material

Material (such as rocks, soil, and sediment) found beneath the surface layer of the Earth, important in geotechnical engineering and environmental studies.

Permeability

A measure of how easily fluids can flow through a porous rock or material.

Uncompacted Clays

Clay material that has not been subjected to pressure, typically soft and easily deformed, often leading to stability issues in construction.