Solve the following by completing the square. x^2-14x=-37

A. x= -7+- √37

B. x= -7 +- 2 √3

C

Solve the following by completing the square. x^2-14x=-37

A. x= -7+- √37

B. x= -7 +- 2 √3

C. x= 7 +- 2 √3

D. x= 7 +- √37

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  1. Answer:

    x = 7 + 2√3

    Step-by-step explanation:

    x² 14x = -37

    => x² – 14x + 37 = 0

    => x² – 7x – 7x + 49 – 12 = 0

    => x(x 7) 7(x 7) 12 = 0

    => (x 7)(x 7) (2√3)² = 0

    => (x 7)² = (2√3)²

    => x 7 = 2√3

    x = 7 + 2√3

    [ Note: If aⁿ = bⁿ , a = b ]

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