Verified Answer :

Neuron

If you would like to find the x-intercepts of the function f(x) = - 2 x^2 - 3 x + 20, you can calculate this using the following steps:

f(x) = - 2 x^2 - 3 x + 20
f(x) = - (2x - 5) * (x + 4)
1. x = - 4
2. x = 5/2

(x, y) = (-4, 0)

The correct result would be (-4, 0).

The x-intercepts of the given function are (2.5, 0) and (-4, 0)

Solving quadratic equations

From the question, we are to determine the x-intercepts of the given function

The given function is

f(x) = –2x² – 3x + 20

To determine the x-intercepts of the function, we will determine its zeros

That is, we would solve

0 = –2x² – 3x + 20

This can be rewritten as

2x² + 3x - 20 = 0

Solve by factoring

2x² + 8x - 5x - 20 = 0

2x(x + 4) -5(x + 4) = 0

Then,

(2x - 5)(x +4) = 0

2x - 5 = 0 OR x +4 = 0

2x = 5 OR x = -4

x = 5/2 OR x = -4

x = 2.5 OR x = -4

Hence, the x-intercepts of the function are (2.5, 0) and (-4, 0)

Learn more on Solving quadratic equations here: https://brainly.com/question/14490818

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