Find the solution by graphing or from the graph y=x2+7x+6

The solution set is {-6, -1}.

Step-by-step explanation:

Next time, please use " ^ " to denote exponentiation:  y=x^2 + 7x + 6.

This function is easily factored:  y = (x + 1)(x + 6).

Setting it = to 0 and solving for x yields the zeros {-1, -6}, which are also the "solutions."

You might consider graphing this function even tho' we already have the solutions here.  The y-intercept of  y = x^2 + 7x + 6 is (0, 6), and, as we have already seen, the zeros / roots / solutions are (-1, 0) and (-6, 0).

The vertex is found by evaluating x = -b/(2a), which here is x = -(7) / (2*1) = -7/2.  Subbing -7/2 for x into y=x^2 + 7x + 6 yields the y-value of the vertex.

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