Question

Let ​ x2+11x=3 ​.

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

Enter your answers in the boxes.

x2+11x+
=

Answer 1

Answer:

121/4 ; 133/4

Step-by-step explanation:

x² + 2(x)(11/2) + (11/2)² - (11/2)² = 3

x² + 2(x)(11/2) + (11/2)² = 3 + 121/4

x² + 11x + 121/4 = 133/4

Answer 2

Answer:

x^2 +11x +121/4 = 133/4

Step-by-step explanation:

x^2 +11x =3

We need to complete the square

Take 11

Divide it by 2

11/2

Then square it

(11/2)^2 =121/4

Add it to each side

x^2 +11x +121/4 = 3+121/4

x^2 +11x +121/4 = 12/4+121/4

x^2 +11x +121/4 = 133/4