Explain why the equation has two solutions. ( x - 4 ) ^2 - 28 = 8 then solve the equation to find the solutions. show your work.

Hi there!

The equation is a quadratic equation, which means that it has a negative and positive value. To solve, first we need to distribute, subtract and simplify. Here is what the end result would look like: x^2 - 8x - 20 = 0. In order to be able to solve the equation, all values need to be on the same side. Now, let's plug the values into the quadratic equation: 8 +- (square root)(64 - 4*1*-20)/2*1. Simplify the equation: 8 +-(square root)(144)/2. Okay, we've got our equation. We need to use the + sign after 8 to find one answer and the - sign after 8 to find the other answer. + sign  10. - sign  -2.

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