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AnnyKZ [126]
3 years ago
5

The roots of the equation are 3 + 8i and 3 – 8i.

Mathematics
1 answer:
g100num [7]3 years ago
3 0
Given that the roots of the equation x^2-6x+c=0 are 3+8i and 3-8i, the value of c can be obtained as follows;
taking x=3+8i and substituting it in our equation we get:
(3+8i)^2-6(3+8i)+c=0
-55+48i-18-48i+c=0
collecting the like terms we get:
-55-18+48i-48i+c=0
-73+c=0
c=73
the answer is c=73
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The factor if the root is 2 is x - 2 and the factor if the root is -3 is c + 3

<h3>Factors of a polynomial</h3>

According to the question, we are to find the factors of the polynomial expression

Given the polynomial expression

y = x² + x - 6

Factorize

y = x² + 3x - 2x - 6

y = x(x+3)-2(x+3)
y = (x-2)(x+3)

Hence the factor if the root is 2 is x - 2 and the factor if the root is -3 is c + 3

Learn more on factoring here: brainly.com/question/25829061

#SPJ1

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2 years ago
10. A small plane was scheduled to fly from Atlanta to Washington, D.C. The plane flies at a constant speed of 230 miles per
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Answer:  The plane had traveled about 264 miles before turning back. The average speed was 230 mph

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230+10 = 240 speed returning  

Average speed (220+240)÷2= 460/2 =230 mph (needless to calculate!) Multiplied by total time 2.3 hours = 529 miles total distance.

Traveling the entire distance at 220mph would take about 2.4 hours. Traveling the entire distance at 240mph would take about 2.2 hours, a difference of .20 hours. Cut those times in half:

Traveling at 220mph for 1.2 hours would cover about 264 miles.

Traveling at 240mph for 1.1 hours would cover about 264 miles.

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7 0
3 years ago
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