Solve x2 + 6x = 7 by completing the square. which is the solution set of the equation? {–7, 1} (negative 3 minus startroot 10 endroot comma negative 3 + startroot 10 endroot) (3 minus startroot 10 endroot comma negative 3 + startroot 10 endroot) {1, 7}

The two solutions are x = -7 and x = 1

Step-by-step explanation:

We complete the square for the expression on the left of the equal sign, by adding the "square of half of the coefficient of the term in x". That is, in our case we need to add  

So we proceed to add 9 on both sides of the equation, that way completing a perfect square trinomial on the left side of the equal sign:

Notice now that the perfect square on the left is , so we replace it in our equation:

Therefore, we get two possible solutions:

a) , and

b)

So our two solutions are x= -7 and x=1

168

step-by-step explanation:

first off, we know that he drove 3.5 hours at a rate of 48 mph.

knowing that, we want to see how many miles he drove all-together.

in this case, we can just multiply 48 by 3.5.

48 * 3.5 = 168