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Chapter 1: Q. 30 (page 29)

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

5x2=13x+6

Short Answer

Expert verified

The required solution isx=-25,3and the graph of the solution is shown below:

Step by step solution

01

Step 1. Given information.

We have:

5x2=13x+6

02

Step 2. Solve the equation algebraically.      

The equation is 5x2=13x+6.

5x2-13x-6=0

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

x1,鈥�2=-b卤b2-4ac2a

For a=5,鈥�b=-13,鈥�c=-6

x1,鈥�2=--13卤-132-4路鈥�5-62路鈥�5x1,鈥�2=--13卤鈥�172路鈥�5x=3,-25

03

Step 3. Verify the solution using a graphing utility.      

The solution of the equation isx=-25,3.

Draw the graph of the equation5x2=13x+6 using the graphing utility:

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Most popular questions from this chapter

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

x+2x-3=x-32

If two distinct lines have the same slope, but different x-intercepts, can they have the same y-intercept?

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

x2-3x-28=0

Tell whether the given points are on the graph of the equation.

Equation:y=x4-xPoints:(0,0);(1,1);(-1,0)

Tell whether the given points are on the graph of the equation.

Equation:y=x3-2xPoints:(0,0);(1,1);(1,-1)
See all solutions

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