D. The solution of the quadratic equation using completing the square method is x = 7 ±√3.
What is completing the square method?
Completing the square method is one of the methods to find the roots of the given quadratic equation.
In completing the square method, we have to convert the given equation into a perfect square.
The given quadratic equation;
x² - 14x + 46 = 0
collect similar terms together;
x² - 14x = -46
take half of coefficient of "x", square it and add it to both sides of the equation.
(x - 7)² = -46 + 49
(x - 7)² = 3
take square root of both sides
x - 7 = ±√3
add "7" to both sides of the equation
x = 7 ±√3
Thus, the solution of the quadratic equation using completing the square method is x = 7 ±√3.
Learn more about completing the square method here: https://brainly.com/question/13981588
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