Big Ideas Math Integrated I, 2016
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Big Ideas Math Integrated I, 2016 View details
5. Solving Equations by Graphing
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Exercise 7 Page 247

Create functions from the left-hand and right-hand sides of the equation.

x=- 2

Practice makes perfect
To graph the equation x+4=- x, we will create two functions out of the left- and right-hand sides of the equation. f(x)=x+4 and g(x)=- x The x-coordinate where the graphs of these functions intersect is the solution to our equation.
Point of intersection
The graphs intersect at x=- 2, which is our solution. We can verify this algebraically by solving the equation.
x+4=- x
2x+4=0
2x=- 4
x=- 2
To check this solution, we will substitute it back into the given equation and simplify. If doing so results in a true statement, our solution is correct.
x+4=- x
- 2+4? =- ( - 2)
- 2+4? =2
2=2 âś“