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.

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.
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Solution

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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

\[ x = \frac{6}{7} \quad \text{and} \quad x = 2 \]

Final Answer

The x-intercepts are

\[ \boxed{x = \frac{6}{7}, 2} \]

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