### Home > INT2 > Chapter 8 > Lesson 8.4.3 > Problem 8-108

8-108.

Does each expression below have a maximum or a minimum possible value? What real-number value of

*x*will yield the maximum or minimum value? Where do you see these values in each expression? Homework Help ✎(

*x*+ 4)^{2}–(

*x*+ 27)^{2}–(

*x*– 40)^{2}(

*x*+ 32)^{2}

Each of these expressions has a squared quantity. What is the lowest number you can get when squaring?

Minimum: *x* = −4

If you try various values for *x* you will almost always get a negative number. Therefore 0 is the highest number you can obtain.

Maximum: *x* = −27