Select the correct answer. Solve the equation by completing the square. 0=x^2-14x+46 A. x=14pm sqrt (3) B x=-7pm sqrt (3) C. x=7pm sqrt (3) D x=-14pm sqrt (3) D B C A

To solve the equation by completing the square, follow these steps:<br /><br />1. Move the constant term to the other side of the equation:<br /> $x^2 - 14x = -46$<br /><br />2. Find the value that completes the square for the quadratic term:<br /> $(\frac{-14}{2})^2 = 49$<br /><br />3. Add this value to both sides of the equation:<br /> $x^2 - 14x + 49 = -46 + 49$<br /><br />4. Simplify the equation:<br /> $(x - 7)^2 = 3$<br /><br />5. Take the square root of both sides:<br /> $x - 7 = \pm \sqrt{3}$<br /><br />6. Solve for x:<br /> $x = 7 \pm \sqrt{3}$<br /><br />Therefore, the correct answer is C. $x=7\pm \sqrt {3}$