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Solve the Equation by Completing the Square 16x25x+1=016 x ^ { 2 } - 5 x + 1 = 0

Question 96

Multiple Choice

Solve the equation by completing the square.
- 16x25x+1=016 x ^ { 2 } - 5 x + 1 = 0


A) 5i3932,5+i3932\frac { 5 - i \sqrt { 39 } } { 32 } , \frac { 5 + i \sqrt { 39 } } { 32 }
B) 5i3932,5+i3932\frac { 5 - \mathrm { i } \sqrt { 39 } } { 32 } , \frac { - 5 + \mathrm { i } \sqrt { 39 } } { 32 }
C) 5i3932,5+i3932\frac { - 5 - i \sqrt { 39 } } { 32 } , \frac { - 5 + i \sqrt { 39 } } { 32 }
D) 5i3932,5+i3932\frac { - 5 - \mathrm { i } \sqrt { 39 } } { 32 } , \frac { 5 + \mathrm { i } \sqrt { 39 } } { 32 }

Correct Answer:

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