Question

What are the x-intercepts of the function f(x) = -2x²-3x 207 (-4.0) and 놀이 01-20 and (4.0) (-5, 0) and (2, 0) o(-2.0) and (5.0)

Answer 1

To find the x-intercepts of the quadratic function f(x) = -2x² - 3x + 207, apply the quadratic formula with coefficients a = -2, b = -3, and c = 207. Calculate the discriminant and use it to find the two x-intercepts.

Step-by-step explanation:

The x-intercepts of a function are the points where the graph of the function crosses the x-axis. This occurs where the function f(x) is equal to 0. For a quadratic function, which is in the form f(x) = ax² + bx + c, you can find its x-intercepts by using the quadratic formula, which is x = (-b ± √(b² - 4ac)) / (2a). In the case of the given function f(x) = -2x² - 3x + 207, you can apply the quadratic formula to find the x-intercepts.

Start by identifying the coefficients: a = -2, b = -3, and c = 207. Then, substitute these values into the quadratic formula to solve for x:

1. x = (-(-3) ± √((-3)² - 4(-2)(207))) / (2(-2))
2. x = (3 ± √(9 + 1656)) / (-4)
3. x = (3 ± √1665) / (-4)
4. Calculate the discriminant √1665 and then find the two possible values for x.

After solving, you will get two values for x, which are the x-intercepts of the function f(x).