# How do you solve #x^2 + 9x = -7# graphically and algebraically?

##### 2 Answers

#### Explanation:

Algebraic Solution:

This is a quadratic eqation of the form:

The quadratic formula states:

Hence,

Hence,

Graphical Solution:

To find the zeros of

graph{x^2+9x+7 [-28.87, 28.85, -14.44, 14.43]}

As can be seen, the

Hence, this is the graphical solution to the given equation.

#### Explanation:

Solving the equation graphically would be inefficient, since the algebraic method is required to use the graphical method. However, if you are *given* a graph with the *exact value* of the x-intercepts, the x-intercepts will be the solutions to the equation.