# How do you find the value of a given the points (4,-1), (a,5) with a distance of #10#?

##### 2 Answers

#### Answer:

#### Explanation:

Distance between two points is given by the formula :

#### Answer:

#### Explanation:

First, let's take a look at the distance formula where

Now you choose which point is point 2 (includes

Point 2:

Point 1:

Now plug these values into the equation

We also know that the distance

Simplify

Now square both sides to get rid of the radical

FOIL the expression

Now plug this expression back in for

Subtract 100 from both sides

Now factor this expression to find the roots/zeros

So the roots are