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Marina CMI [18]
2 years ago
11

Find the roots of the equation x^2 +7= 2x express your answer in simplest a +bi form

Mathematics
1 answer:
Fittoniya [83]2 years ago
7 0

x^2+7=2x\\\\\implies x^2 -2x +7 =0\\\\\text{Apply quadratic formula,}~ x =\dfrac{-b \pm \sqrt{b^2-4ac}}{2a}\\\\\text{in this case,}~ a = 1, b= -2 ~\text{and}~ c = 7\\\\\\x= \dfrac{-(-2) \pm \sqrt{(-2)^2 -4\cdot 1 \cdot 7}}{2\cdot 1}\\\\\\\implies x =\dfrac{2 \pm \sqrt{-24}}{2}\\\\\\\implies x = \dfrac{2 \pm i\sqrt{24}}2\\\\\implies x =\dfrac{2 \pm i2\sqrt{6}}2\\\\\implies x = \dfrac{2\left(1 \pm i  \sqrt 6\right)}2\\\\\implies x = 1 \pm i\sqrt 6\\\\

\text{Hence,}~ x = 1-i\sqrt 6 ~\text{or}~ x = 1+i\sqrt 6

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Help ASAP????? Please
galben [10]

Answer:

C. (-5,-1)

E. (10,2)

F. (15,3)

------------------

<u><em>hope it helps...</em></u>

<u><em>have a great day!!</em></u>

<u><em></em></u>

4 0
2 years ago
Help please thank uuuu
zaharov [31]

Answer:

B. x = 7; AB = 9, AC = 12

Step-by-step explanation:

12/4 = (x + 2)/(x - 4) (similar triangles theorem)

3 = (x + 2)/(x - 4)

Cross multiply

3(x - 4) = (x + 2)

3x - 12 = x + 2

Collect like terms

3x - x = 12 + 2

2x = 14

x = 14/2

x = 7

✔️AB = x + 2 = 7 + 2

AB = 9

✔️AC = (x + 2) + (x - 4) = (7 + 2) + (7 - 4)

AC = 9 + 3

AC = 12

7 0
3 years ago
An angle measures 64.8° less than the measure of its complementary angle. What is the measure of each angle?
kirill115 [55]

Answer:

<u>77.4 degrees and 12.6 degrees</u>

Step-by-step explanation:

Let the angles be x and x - 64.8.

Therefore, on the basis of knowledge that complementary angles add up to 90 degrees :

x + x - 64.8 = 90

2x = 154.8

x =  <u>77.4 degrees</u>

x - 64.8 = 77.4 - 64.8 = <u>12.6 degrees</u>

5 0
2 years ago
Please help me with this question
valentinak56 [21]
Radius= 33
Diameter = 66
Circumference = 207 yards
Area= 3,421 yards squared
Hope that helped :D
8 0
3 years ago
6) What is 13% of 33.39?
icang [17]

Answer:

1. We assume, that the number 33.39 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 33.39 is 100%, so we can write it down as 33.39=100%.

4. We know, that x is 13% of the output value, so we can write it down as x=13%.

5. Now we have two simple equations:

1) 33.39=100%

2) x=13%

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

33.39/x=100%/13%

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 13% of 33.39

33.39/x=100/13

(33.39/x)*x=(100/13)*x       - we multiply both sides of the equation by x

33.39=7.6923076923077*x       - we divide both sides of the equation by (7.6923076923077) to get x

33.39/7.6923076923077=x

4.3407=x

x=4.3407

now we have:

13% of 33.39=4.3407

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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