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zlopas [31]
3 years ago
14

The roots of an equation are x = -1 ± i. The equation is: x2 + _____ + 2 = 0.

Mathematics
1 answer:
Serhud [2]3 years ago
4 0

Answer:

x² + 2x + 2 = 0

Step-by-step explanation:

Given that the roots are x = - 1 + i and x = - 1 - i

Then the factors are

(x - (- 1+ i))(x - (- 1 - i)

= (x + 1 - i)(x + 1 + i) ← expand factors

= (x + 1)² - i² → note i² = - 1

= x² + 2x + 1 + 1

= x² + 2x + 2

Equation is x² + 2x + 2 = 0

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15 is 6% of what number?
satela [25.4K]

Answer:

250

Step-by-step explanation:

If 15 is 6% multiplying it by 16.66666666666667‬ will make it 100%

15 x 16.66666666666667‬ = 250

Another way to do this is divide by 6 and multiply by 100

7 0
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What is the value of sin(F)?<br> 1 point<br><br> 4/3<br> 3/5<br> 4/5<br> 3/4
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A man bought a book for 15rs. If twice the amount left with him is 70rs, how much money did he have?
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5 0
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Read 2 more answers
The sum of three numbers is 85. The second is 7 more than the first. The third is 2 more than four times the second. Find the nu
9966 [12]
Let x=the first number
Then x+7=second number
And 4(x+7)+2=third number (2 more than 4 times the second)
Now we are told that:
x+(x+7)+(4(x+7)+2)=85 get rid of parentheses
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4(x+7)+2=4*15+2=62 third number
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8+15+62=85
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4 0
3 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=8x%20%2B%204%20%3D%205x%20-%2011%20" id="TexFormula1" title="8x + 4 = 5x - 11 " alt="8x + 4 =
Anon25 [30]
8x + 4 = 5x - 11

Subtract 5x from both sides:
3x + 4 = -11

Subtract 4 from both sides:
3x = -15

Divide both sides by 3:
x = -5

Answer : x = -5
7 0
3 years ago
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