Solve for x. write the smaller solution first, and the larger solution second. (x-10)^2-1=0

and .

Step-by-step explanation:

Start by adding 1 to both sides of this equation.

.

The square of what number or numbers will lead to the number "1"? It turns out that not only , but as well. In other words, the value can be either 1 or -1. Either way, the equation is still going to hold. That's the reason why there are two solutions to this equation.

Consider the case when . Add 10 to both sides of the equation. .

Now, consider the case when . Again, add 10 to both sides of the equation, .

Order the two solutions in an increasing order:

,.

Negative 34. Integers can be positive or negative, but never have decimals. Having a decimal means it is a rational number. Negative 0.4, 0.4, and 3.4 are all rational numbers because they have a decimal meaning they cannot be integers