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In Problem 17-36, solve each equation algebraically. Verify your solution using a graphing utility.

3x2=4x+4

Short Answer

Expert verified

The required solution is x=-23,2and the graph of the solution is shown below:

Step by step solution

01

Step 1. Given information.   

We have:

3x2=4x+4

02

Step 2. Solve the equation algebraically.     

The equation is 3x2=4x+4.

3x2-4x-4=0

For a quadratic equation of the form ax2+bx+c=0the solutions are:

x1, 2=-b±b2-4ac2a

For a=3, b=-4, c=-4

x1, 2=--4±-42-4· 3-42· 3x1, 2=--4± 82· 3x=2, -23

03

Step 3. Verify the solution using a graphing utility.     

The solution of the equation isx=2,-23.

Draw the graph of the equation3x2=4x+4 using the graphing utility:

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