Use the Quadratic Formula or Graphing Methods to
- $$4 x ^ { 2 } > 4 x + 4$$

question 124

Multiple Choice

Use the quadratic formula or graphing methods to
- $$4 x ^ { 2 } > 4 x + 4$$

• A) \(x < \frac { 1 - \sqrt { 5 } } { 2 } \approx - 0.618\) or \(x > \frac { 1 + \sqrt { 5 } } { 2 } \approx 1.618\)
• B) \(\frac { 1 - \sqrt { 5 } } { 2 } \approx - 0.618 < x < \frac { 1 + \sqrt { 5 } } { 2 } \approx 1.618\)
• C) \(x > \frac { 1 + \sqrt { 5 } } { 2 } \approx 1.618\)
• D) \(x < \frac { 1 - \sqrt { 5 } } { 2 } \approx - 0.618\)

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Definitions:

Complex Numbers

A mathematical concept that extends the idea of numbers to a form that includes real and imaginary parts, typically denoted as a + bi where a and b are real numbers and i is the imaginary unit.

X-intercepts

The points at which a graph intersects the x-axis, representing solutions to the equation when y is zero.

Graphing Calculator

An electronic calculator that is capable of plotting graphs, solving simultaneous equations, and performing other tasks with variables.

Completing The Square

A method for converting a quadratic equation into a perfect square trinomial, facilitating its solution.