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vova2212 [387]
3 years ago
13

Solve for x in the equation X^2 - 8X + 41= 0

Mathematics
1 answer:
BaLLatris [955]3 years ago
8 0

Answer:

The equation has two solutions for x:

<u>x₁ = (8 + 10i)/2</u>

<u>x₂ = (8 - 10i)/2</u>

Step-by-step explanation:

Let's use the quadratic formula for solving for x in the equation:

X^2 - 8X + 41= 0

x² - 8x + 41 = 0

Let's recall that the quadratic formula is:

x = -b +/- (√b² - 4ac)/2a

Replacing with the real values, we have:

x = 8 +/-  (√-8² - 4 * 1 * 41)/2 * 1

x = 8 +/-  (√64 - 164)/2

x = 8 +/-  (√-100)/2

x = 8 +/-  (√-1 *100)/2

Let's recall that √-1 = i

x = 8 +/- 10i/2

<u>x₁ = (8 + 10i)/2</u>

<u>x₂ = (8 - 10i)/2</u>

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Answer

78.75

Step-by-step explanation:

75.00 × 0.05

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When three professors are seated in a restaurant, the hostess asks them: "Does everyone want coffee?" The first professor says:
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the first two professors did not know if everyone wanted coffee because the third professor had to choose yes or no if he wanted coffee. the first two professors were waiting for the third to say something, and when he said no, they knew he did not want coffee. if one of the first two professors said no, the answer would be no.

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A straight line y = mx + c is parallel to y = 3x +2
Anna11 [10]

Answer:

m = 3 and c = - 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

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y = 3x + 2 ← is in slope- intercept form

with m = 3

• Parallel lines have equal slopes, thus

y = 3x + c ← is the partial equation of the parallel line

To find c substitute (1, 2) into the partial equation

2 = 3 + c ⇒ c = 2 - 3 = - 1

y = 3x - 1 ← equation of parallel line

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3 years ago
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What is the solution to the equation 1/x = x+3/2x^2
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3 years ago
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Find the percent of increase or decrease?<br> N to 4/5n?
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Answer:

Decrease by 20%.

Step-by-step explanation:

We have to find the percent of increase or decrease from n to \frac{4}{5}n.

Now, \frac{4}{5}n = 0.8n < n

So there is a decrease fro n to \frac{4}{5}n.

Now, the percentage of decrease will be given by  

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3 years ago
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