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ICE Princess25 [194]
3 years ago
6

Knowing that 2i is one answer to the equation x^4 - 2x^3 + 6x^2 - 8x + m = 0, find the 'm' and the other possible answers.

Mathematics
1 answer:
kakasveta [241]3 years ago
4 0
Ok so remember
if a+bi is a root, then a-bi is also a root

since 2i is a root, -2i is also a root
use synthetic division and the fact that when we divide by 2i and -2i, we have to get all real coeficients and end witha zero at the end
I will show the division in the attachment

we find m=8


we then find th resulting equation that is x^2-2x+2=0
quadratic formula
x=\frac{-b+/- \sqrt{b^{2}-4ac} }{2a}
x=1+i or 1-i







m=8 and the other roots are
x=-2i, 1+i, 1-i


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Answer:

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8 0
3 years ago
(2x² - 5x-3)/ (x-3)<br> DIvide the polynomials
Anika [276]

Answer:

2x + 1

Step-by-step explanation:

\frac{(2x² - 5x-3)}{(x - 3)}

Factor out 2x² - 5x-3

\frac{(2x + 1)(x - 3)}{x - 3}

divide x - 3 by x - 3

=> 2x + 1

<em><u>Or another step</u></em>

Step by Step Solution

STEP

1

:

Equation at the end of step 1

STEP

2

:

2x² - 5x - 3/ x - 3

Trying to factor by splitting the middle term

2.1 Factoring 2x² - 5x - 3

The first term is, 2x² its coefficient is 2 .

The middle term is, -5x its coefficient is -5 .

The last term, "the constant", is -3

Step-1 : Multiply the coefficient of the first term by the constant 2 • -3 = -6

Step-2 : Find two factors of -6 whose sum equals the coefficient of the middle term, which is -5 .

-6 + 1 = -5 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -6 and 1

2x² - 6x + 1x - 3

Step-4 : Add up the first 2 terms, pulling out like factors :

2x • (x-3)

Add up the last 2 terms, pulling out common factors :

1 • (x-3)

Step-5 : Add up the four terms of step 4 :

(2x+1) • (x-3)

Which is the desired factorization

Canceling Out :

2.2 Cancel out (x-3) which appears on both sides of the fraction line.

Final result :

2x + 1

6 0
2 years ago
(2x - 1)<br> (4x + 28)°
Sati [7]

Answer: 8x^2° + 52x° + 27°

Using the knowledge i know i think this is the right answer

Have a great day :)

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3 years ago
How fast is a train going that makes a 330 mile trip in 4 hours.?
maw [93]

Answer:

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Step-by-step explanation:

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3 years ago
A cup slides off a 2.5 m high table with a speed of 2.8 m/s to the right. We can ignore air resistance. What was the cup's horiz
azamat

Answer:

Horizontal distance = 1.98 m (Approx)

Step-by-step explanation:

Given:

Height = 2.5 m

Speed v = 2.8 m/s

Find:

Horizontal displacement

Computation:

s = ut + (1/2)gt²

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Horizontal distance = (2.8)(0.7079)

Horizontal distance = 1.98 m (Approx)

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3 years ago
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