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Let ​ x2+11x=3 ​.

What values make an equivalent number sentence after completing the square?

Enter your answers in the boxes.

x2+11x+ [__] = [__]

Respuesta :

add (11/2)^2 to both sides
x^2 + 11x + (11/2)^2 = 3 + (11/2)^2
x^2 + 11x + (11/2)^2 = 133/4
(x + 11/2)^2 = 133/4
x + 11/2 = sqrt of (133/4)
Solutions are
x = (sqrt of (133) - 11))/2
x = (-sqrt of (133) -11))/2
X2+11x+(-3)=0

First bracket (-3), second bracket (0)

Hope this helps.

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