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dem82
1 month ago
14

Given f(x) = x3 – 2x2 – x + 2, the roots of f(x) are

Mathematics
2 answers:
Inessa [12.5K]1 month ago
8 0

Answer:

For Question 1: -1, 1, 2

For Question 2: B

For Question 3: 1, 2, below

Step-by-step explanation:

PIT_PIT [12.4K]1 month ago
3 0
The expression in question is:

f(x) = x³ – 2x² – x + 2

To determine the roots, follow these steps:

1. Set the equation to zero:

0 = x³ – 2x² – x + 2

2. Factor the equation to get:

(x-2)(x-1)(x+1) = 0

3. The roots can be identified as follows:

x1 = -1
x2 = 1
x3 = 2
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12 days ago
Find the values of x1 and x2 where the following two constraints intersect.
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Answer: x1 = 251/26, x2 = -111/26

Step-by-step explanation:

Greetings!

As illustrated in the diagram, the point you seek is where the two lines intersect.

This intersection point is found by solving the system of linear equations (both equations must be satisfied by the point):

9x_1 +7x_2=57\\4x_1 + 6x_2 = 13

You can approach solving it using the substitution method:

\text{solve for x1 in the first equation:}\\x_1 = \frac{1}{9}(57 - 7x_2)

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After which, utilize the x2 value to establish x1:

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