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kap26 [50]
4 years ago
15

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

Mathematics
2 answers:
Karolina [17]4 years ago
8 0
[x-(-1+i)][x-(-1-i)]
[(x+1)-i][(x+1)+i]
(x+1)²-i²
(x²+2x+1)+1
x²+2x+2
so the answer is 2x
Ivanshal [37]4 years ago
3 0

Answer:

The Roots of the equation which is in Quadratic form  are:

    x= -1 \pm i\\\\ x +1=\pm i\\\\ \text{Squaring both sides}}\\\\ (x+1)^2=(\pm i)^2\\\\ x^2 +2 x +1= -1\\\\x^2+2 x +2=0

The Equation is

 x²+2 x +2=0

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If 3x x 10=22, what is the value of 5x +8?
scZoUnD [109]

Step-by-step explanation:

3x x 10 = 22

3x x 10 - 10 = 22 - 10

3x = 12

3x ÷ 3 = 12 ÷ 3

x = 4

5x + 8

5(4) + 8

20 + 8

28

7 0
3 years ago
Which of the following is an irrational number?
I am Lyosha [343]

Hi!

<h3>An irrational number is a number that cannot be written as a ratio or a fraction. </h3><h3>Let's go through each answer. </h3>
  • A. √0.036

= 0.18973666...

<u>This is irrational, because it repeats forever.</u>

  • B. 7.2525

<u>This is rational, because 2525 repeats in a pattern.</u>

  • C. √1

= 1

<u>This is rational. (1/1)</u>

  • D. 10

<u>This is rational (10/1)</u>

<h2>The answer is A. √0.036.</h2>

Hope this helps! :)

-Peredhel

7 0
3 years ago
Two families are planning a trip to Disney. The Smith family bought tickets for 2 adults and 3 children for $557. The Jones fami
emmainna [20.7K]

<em>An adult ticket costs $205 and a child ticket costs $49.</em>

<h2>Explanation:</h2>

Hello! Recall you have to write complete questions in order to find exact answers. Here I'll assume the complete question as:

<em>Two families are planning a trip to Disney. The Smith family bought tickets for 2 adults and 3 children for $557. The Jones family bought tickets for 2 adults and 1 child </em><em>for $459</em><em>. How much does and adult and child ticket cost?</em>

To solve this problem, we need to write a system of linear equations in two variables. So, we know some facts:

  • Two families are planning a trip to Disney.
  • The Smith family bought tickets for 2 adults and 3 children for $557.
  • The Jones family bought tickets for 2 adults and 1 child for $459.

Let:

x:Cost \ of \ ticket \ per \ adult \\ \\ y: Cost \ of \ ticket \ per \ child

For the Smith family:

Cost for the 2 adults:

2x

Cost for the 3 children:

3y

Total cost:

2x+3y=557

For the Jones family:

Cost for the 2 adults:

2x

Cost for the 1 child:

y

Total cost:

2x+y=459

So we have the following system of linear equations:

\begin{array}{c}(1)\\(2)\end{array}\left\{ \begin{array}{c}2x+3y=557\\2x+y=459\end{array}\right.

Subtracting (2) from (1):

\begin{array}{c}(1)\\(2)\end{array}\left\{ \begin{array}{c}2x+3y=557\\-(2x+y=459)\end{array}\right. \\ \\ \\ \begin{array}{c}(1)\\(2)\end{array}\left\{ \begin{array}{c}2x+3y=557\\-2x-y=-459\end{array}\right. \\ \\ \\ (2x-2x)+(3y-y)=557-459 \\ \\ 2y=98 \\ \\ y=49 \\ \\ \\ Finding \ x \ from \ (1): \\ \\ 2x+3(49)=557 \\ \\ 2x=557-147 \\ \\ 2x=410 \\ \\ x=205

Finally, <em>an adult ticket costs $205 and a child ticket costs $49.</em>

<em></em>

<h2>Learn more:</h2>

System of linear equations: brainly.com/question/13799715

#LearnWithBrainly

3 0
4 years ago
A sewing machine is at a 20% off sale. The original price was $340. How much does the sewing machine cost at a 20% off sale?
Anvisha [2.4K]

Answer:

272$

Step-by-step explanation:

Since it is at a sale of 20% off that means that we will have to subtract 100% from 20% which is 80%

Now to find the exact value, we will have to multiply 80%, or 0.80 with 340

0.80*340= 272$

Therefore our answer is 272$

                     - Hope this helped :)

-Brainliest is most appreciated :)

4 0
3 years ago
Read 2 more answers
What is the length of the unknown side of the right triangle? A right triangle with hypotenuse x and legs 7 and 24 7 24 25 31
arlik [135]

Answer:

X = 25

Step-by-step explanation:

To find the hypotenuse of a right triangle you use pythagorean theorm Where C = Hyp

A = Leg1

B = Leg 2

A^2 + B^2 = C^2

7^2 + 24 ^2 = x^2

49 +  576 = x^2

625 = X^2    (Square root both sides)

25 = x

-- Gage Millar, Algebra 1/2 tutor

8 0
2 years ago
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