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Nitella [24]
3 years ago
11

The complex solution to a quadratic equation is below. Write this solution in standard form, a+bi, where a and b are real number

s. What are the values of a and b.​

Mathematics
1 answer:
Viktor [21]3 years ago
4 0

Answer:

a = -6 and b = 3√2

Step-by-step explanation:

Given the complex solution below;

x = (-24±√-288)/4

Re writing in the standard format a,+bi

x =( -24±√144×√2×√-1)/4

In complex notation, i = √-1

x = (-24±√144×√2×i)/4

x = ( -24±12×√2i)/4

x = -24/4±12√2i/4

x = -6±3√2i

Comparing the resulting complex number with a+bi

a = -6 and b = 3√2

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The distance traveled by the second hand of the clock is 0.471 m.

<h3 />

To calculate the distance the tip of the second hand of the clock travel in 45 seconds, we use the formula below.

<h3>Formula:</h3>
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<h3> Where: </h3>
  • L = distance traveled by the tip of the second hand.
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From the question,

<h3>Given:</h3>
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Substitute these values into equation 1

  • L = 0.1×2×270×3.14/360
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Hence, The distance traveled by the second hand of the clock is 0.471 m

Learn more about distance traveled here: brainly.com/question/4931057

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