What are the solutions of the equation x^2 + 4x + 4= 25? a. x = 3 or x = -7 b. x = -3 or x = 7 c. x = 1 or x = 9 d. x = 1 or x = -9

Firstly, you need to set the equation to 0. To do that, subtract both sides by 25: .

Next, we can complete the square. But first, what two terms have a product of -21x^2 and a sum of 4x? That would be 7x and -3x. Replace 4x in the equation with 7x - 3x:

Next, factor x^2 + 7x and -3x - 21 separately. Make sure that they both have the same quantity on the inside:

Now you can rewrite the equation as

Now using zero product property, solve for x:

In short, your answer is A. x = 3 or x = -7.

answer: c

(2, -4)

goes 7 to the

(9, 4)

easy

step-by-step explanation:

points a and b are equidistant from the desired line, so the line you find by using them will go through point r.

using points other than a and b will give the desired line only if they are equidistant from r. if they are randomly located, the perpendicular line you create will not necessarily go through point r, hence will not be a solution to the problem.