Questions: Use a graphing utility to find or to approximate the x-intercepts of the graph of the function.
y=7x^2-20x+12
Select the correct choice below and, if necessary, fill in the answer box to complete your answer.
A. The x -intercept(s) is/are x= .
(Simplify your answer. Use a comma to separate answers as needed. Type an integer or decimal rounded to four decimal places as needed.)
B. There is no x-intercept.
Transcript text: Use a graphing utility to find or to approximate the x-intercepts of the graph of the function.
\[
y=7 x^{2}-20 x+12
\]
Select the correct choice below and, if necessary, fill in the answer box to complete your answer.
A. The x -intercept(s) is/are $\mathrm{x}=$ $\square$ $\square$.
(Simplify your answer. Use a comma to separate answers as needed. Type an integer or decimal rounded to four decimal places as needed.)
B. There is no $x$-intercept.
Solution
Solution Steps
Step 1: Identify the Polynomial
The given function is
\[
y = 7x^2 - 20x + 12
\]
Step 2: Find the X-Intercepts
To find the x-intercepts, we need to solve the equation
\[
7x^2 - 20x + 12 = 0
\]
The solutions to this equation are the values of \( x \) where the graph intersects the x-axis.
Step 3: Calculate the X-Intercepts
The solutions to the equation are
\[
x = \frac{6}{7} \quad \text{and} \quad x = 2
\]