Solve the equation 3x x2 - x 3 graphically first collect


Question: Make the given changes in the indicated examples of this section and then solve the resulting problems.

In Example, change the coefficient of x on the left from 3 to 5 and then find the solution graphically.

Example: Solving quadratic equation graphically

Solve the equation 3x = x(2 - x) + 3 graphically. First, collect all terms on the left of the equal sign. This gives x2 + x - 3 = 0. We then let y = x2 + x - 3 and graph this function. The minimum point is (-1/2, 13/4) and the -intercept is (0,-3) Using the calculator, these points help us choose the window settings shown for

the graph of the function in Fig. Now, using the zero feature twice, we find the roots to be approximately

x = -2.3028 and x = 1.3028

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Mathematics: Solve the equation 3x x2 - x 3 graphically first collect
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