Respuesta :
Answer:
x = 7+√(3), 7-√(3)
Step-by-step explanation:
x^2 - 14x + ___ = -46 + ___
x^2 - 14x + 49 = -46 + 49
(x-7)^2 = 3
√(3) = x-7
x = 7+√(3), 7-√(3)
The value of x is x = 7+√(3), 7-√(3)
What is completing the square method.?
Completing the square means writing a quadratic in the form of a squared bracket and adding a constant if necessary.
Given:
x² - 14x ++46 = 0
x² - 14x ++46 + 7²- 7² = 0
x² - 14x + 7² +46 - 49 = 0
(x- 7)² - 3=0
(x- 7)² = 3
x = 7+√(3), 7-√(3)
Learn more about completing the square method here:
https://brainly.com/question/26107616
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