25johnsw
contestada

Which of the following is a solution to the equation 0=x2+6x+4 ?
A. x=−3−√5
B. x=−3−√25
C. x=−6+√5
D. x=−6+√25

Respuesta :

Answer:

A

Step-by-step explanation:

Given

x² + 6x + 4 = 0 ( subtract 4 from both sides )

x² + 6x = - 4

Solve using the method of completing the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(3)x + 9 = - 4 + 9, that is

(x + 3)² = 5 ( take the square root of both sides )

x + 3 = ± [tex]\sqrt{5}[/tex] ( subtract 3 from both sides )

x = - 3 ± [tex]\sqrt{5}[/tex] , thus

x = - 3 - [tex]\sqrt{5}[/tex] → A

x = - 3 + [tex]\sqrt{5}[/tex]

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