Find the zeros of the function. Enter the solutions from least to greatest. f(x) = (x - 8)^2 - 9
2 answers:
Answer:
Step-by-step explanation:
The zeros of the function can be found by factoring. Since this has already been started with completing the square, we will just pick up from where it was left and finish factoring. Set the quadratic equal to 0 first.
then move over the 9:
"undo" the squaring by square rooting both sides to get
x - 8 = ±3. And then add over the 8 to get the solutions
x = 8 + 3 and x = 8 - 3. The solutions, then, are
x = 5 and x = 11
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The right answer is c. –2.24, 2, 2.24
This question needs to be solved in two ways. First, using a graphing calculator. Next, using a system of equations.
1. Using a graphing calculator.
We have the following polynomial equation:
By ordering this equation we have:
So, we can say that this equation comes from a function given by:
Thus, by plotting this function, we have that the graph of this function is indicated in Figure 1. By zooming, we can see, in Figure 2, that the roots of the polynomial equation are the x-intercepts of which are:
Finally, rounding noninteger roots to the nearest hundredth we have:
2. Using a system of equations.
The ordered equation is:
By arranging to factor out we have:
Then, by factoring:
Term is a common factor, thus:
