# How do you find the x intercepts of # 36x^2 + 84x + 49 = 0#?

##### 2 Answers

#### Explanation:

Technically an equation in one variable does not have intercepts; it has a (or multiple) solution(s).

can be factored as

So if

then

which implies

See a solution process below:

#### Explanation:

We can factor the left side of the equation as:

Or

Because both terms on the left are the same there will be only one

As you can see from the graph the parabola touches the x-axis at just one point:

graph{(y - 36x^2 - 84x - 49)((x+7/6)^2+(y)^2-0.0005) = 0 [-2, 0, -0.5, 0.51]}