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Solve x2 - 8x = 3 by completing the square. Which is the solution set of the equation?

O {4 - V19, 4 + V19}
O {4 - V11, 4 + V11}
O {4 - V8,4 + V8}
O {4 - V3, 4 + V3}

Respuesta :

Answer:

first option

Step-by-step explanation:

x² - 8x = 3

to complete the square

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

x² + 2(- 4)x + 16 = 3 + 16

(x - 4)² = 19 ( take square root of both sides )

x - 4 = ± [tex]\sqrt{19}[/tex] ( add 4 to both sides )

x = 4 ± [tex]\sqrt{19}[/tex]

then

x = 4 - [tex]\sqrt{19}[/tex] , x = 4 + [tex]\sqrt{19}[/tex]