Challenge: Solve the following equation by completing the square and enter the answers from below from least to great. Equation: x(2)+16x+62=7

Results: x= { , } ​

Step-by-step explanation:

To begin, get everything but the x terms on one side of the equation by subtracting the 62. That gives us

Next, take half the linear term, square it, and add it to both sides. Our linear term is 16. Half of 16 is 8, and 8 squared is 6, so add 64 to both sides:

The reason we do this is to get a perfect square binomial on the left, which looks like this:

. Undo the squaring on the left by taking the square root of both sides. Doing this leaves x + 8 on the left, but + or - 3 on the right:

x + 8 = 3 and x + 8 = -3. Solving each of these equations gives you your 2 solutions:

x = -5 and x = -11