Question

Fan and medal

What number would you have to add to both sides to complete the square?



x^2 + 12x = –6









A.
–144







B.
–36







C.
36







D.
144

Answer 1

Can you elaborate the question?

Answer 2

what do you mean?

Answer 3

Expand the question

Answer 4

Add a value to both sides of the equation that will be equal to the square of "half the coefficient" of x. So here you add (6)² to both sides:
x² + 12x + 36 = -9 + 36
x² + 12x + 36 = 27

Now the perfect trinomial square can be factored into (x + 6)² and the problem becomes:
(x + 6)² = 27

Take the square root of each side. You're setting up for solving for x:
√((x + 6)²) = ±√(27)

(x + 6) = ±√(27)

(x + 6) = ±3√(3)

Now for the positive part of the solution:
(x + 6) = 3√(3)
x + 6 = 3√(3)
x = -6 + 3√(3)

Then the negative:
(x + 6) = -3√(3)
x + 6 = -3√(3)
x = -6 - 3√(3)

The complete solution:
x = -6 + 3√(3), -6 - 3√(3)

Answer 5

\[x^2+bx=c\]Then adding\[\frac{b}{2}\] would make the left side a perfect square.

Answer 6

I mean \[(~\frac{b}{2}~)~^2\]

Answer 7

@ikatouni this doesn't help me AT ALL

Answer 8

solve the splution and that's ur answer

Answer 9

whats a splution?