Solve each equation in Exercises 15–34 by the square root propert...

Question

Solve each equation in Exercises 15–34 by the square root property.

(x + 2)^2 = 25

Accepted Answer

Hello. Everyone in this video we're going to be looking at this practice problem where we need to solve for a. And the equation a plus seven squared is equal to 64. So in this case you can see that a. Is inside this exponent. So in order to sulfur it, I'm going to go ahead and take the square root of both sides. So when I take the square root of both sides, recall that because of the square root property. When I take the square root it's plus or minus the square root of 64. And my left hand side cancels out the exponents. So I'm left with just a plus seven is equal to plus or minus the square root of 64. Well in this case 64 is equal to eight times eight or eight squared. So the square root of 64 is eight. So my right hand side becomes plus or -8 And my left hand side is still a plus seven. And in order to sell for a I need to subtract seven. So it leaves me with a is equal to negative seven plus or minus eight. So from here you can see that there's two solutions for A. I could either have A is equal to negative seven plus eight or a is equal to negative seven minus eight. So if we solve this top one negative seven plus eight is one and this bottom one negative seven minus eight is negative 15 which means that a could equal one or negative 15. So A has two solutions in this case And you can see that answer. Choice B also has one and negative 15. So hopefully this video helped and see you next time.

Solve each equation in Exercises 15–34 by the square root property. (x + 2)^2 = 25

Key Concepts

Square Root Property

Isolating the Variable

Perfect Squares

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