Solve the Equation $x ^ { 2 } - 4 x - 3 = 0$

question 69

Multiple Choice

Solve the equation $x ^ { 2 } - 4 x - 3 = 0$ by completing the square. Give the solutions in exact form and in decimal form rounded to two decimal places. (The solutions may be complex numbers.)

• A) \(4 + \sqrt { 7 } i \approx 4 + 2.65 i\) ; \(4 - \sqrt { 7 } i \approx 4 - 2.65 i\)
• B) \(2 + \sqrt { 7 } i \approx 2 + 2.65 i\) ; \(2 - \sqrt { 7 } i \approx 2 - 2.65 i\)
• C) \(4 + \sqrt { 7 } \approx 6.65\) ; \(4 - \sqrt { 7 } \approx 1.35\)
• D) \(2 + \sqrt { 7 } \approx 4.65\) ; \(2 - \sqrt { 7 } \approx - 0.65\)
• E) \(- 2 + \sqrt { 7 } \approx 0.65\) ; \(- 2 - \sqrt { 7 } \approx - 4.65\)

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