Complete the square x^2+6x=-2

Step-by-step explanation:

Answer this by inserting a positive number between the '6x' and the '=' sign and then subtracting the same number:

x^2 + 6x + 9 - 9 = -2

Where does the "9" come from?  Take half the coefficient of x (which is 6) and square the result (obtaining 36).  Now add 36 after the "6x" and then subtract 36:

x^2 + 6x + 9 = 7

Rewrite this with a perfect square on the left side:

(x + 3)^2 = 7            Here we have successfully "completed the square."

according to the triangle sum theorem, all the angles in a triangle must add up to 180 degrees. if we know one angle is already 90, we do 180-90=90. the other 2 angles must add up to 90, exactly.

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