### Home > INT2 > Chapter 8 > Lesson 8.3.1 > Problem8-63

8-63.

For each expression below, what real-number value of $x$ will yield the lowest possible value of the expression? For example, in part (a), if $x = 5$, then the value of the expression is $25$. If $x =-4$, then the value of the expression is $16$. Are there values of $x$ that will result in smaller values of the expression? Homework Help ✎

Each of these expressions is squared. When you square a quantity, what is the lowest result you can get?

1. $x^2$

The lowest value will occur when $x = 0$.

1. $(x -1)^2$

1. $(x + 7)^2$

$x = -7$