1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Crazy boy [7]
3 years ago
11

Solve x2 – 7x = –13.

Mathematics
2 answers:
vampirchik [111]3 years ago
8 0
This results in a non-real solution X= 7/2 + i (sqrt 3)/2 and x= 7/2 - i (sqrt 3)/2
aleksklad [387]3 years ago
6 0

we have

x^{2} -7x=-13

Complete the square. Remember to balance the equation by adding the same constants to each side

x^{2} -7x+3.5^{2}=-13+3.5^{2}

x^{2} -7x+12.25=-13+12.25

x^{2} -7x+12.25=-0.75

Rewrite as perfect squares

(x-3.5)^{2}=-0.75

remember that

i=\sqrt{-1}

Square root both sides

(x-3.5)=(+/-)\sqrt{-0.75}

(x-3.5)=(+/-)\sqrt{-1*0.75}

(x-3.5)=(+/-)\sqrt{0.75}i

x1=3.5+\sqrt{0.75}i

x2=3.5-\sqrt{0.75}i

Simplify

\sqrt{0.75}=\frac{\sqrt{3}}{2}

x1=3.5+\frac{\sqrt{3}}{2}i

x2=3.5-\frac{\sqrt{3}}{2}i

therefore

<u>the answer is</u>

x1=3.5+\frac{\sqrt{3}}{2}i

x2=3.5-\frac{\sqrt{3}}{2}i

You might be interested in
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*.. <br> IM GIVING 40 POINTS !! DONT SKIP :((.
Artist 52 [7]

Answer:

y = 2x - 81

Step-by-step explanation:

8 0
2 years ago
A car is traveling up a steep ramp to a parking garage.the ramp is 445 feet long and rises a vertical distance of 80 feet. What
Alecsey [184]
With the information provided in the problem, we can create a right triangle with the ramp as its hypotenuse, and  the vertical rise as its opposite side from its angle of elevation.
Let E be the angle of elevation from the car to the end of the ramp. We now know that the hypotenuse of our triangle measures 445 feet, and the opposite side measures 80 feet, so we need a trig function that relates our angle of elevation with the hypotenuse and the opposite side. That function is sine:
sine(E)= \frac{80}{445}
E=arcsine( \frac{80}{445} )
E=10.36

We can conclude that the angle of elevation from the car to the end of the ramp is 10.36°.

3 0
3 years ago
Read 2 more answers
These base-10 blocks model 68.
Rina8888 [55]

Answer:

68 ÷ 7 = 9.714

−      

7 0
2 years ago
7 more than the quantity 3 times 2
Zolol [24]

Answer:

13

Step-by-step explanation:

(3 times 2)+7=x

6+7=x

x=13

5 0
3 years ago
Plz anser will give branlist
iragen [17]

Answer:

A

Step-by-step explanation:

First notice that the sing does not have a line under it so its an open circle then the line is pointing to right. Your Welcome

6 0
3 years ago
Read 2 more answers
Other questions:
  • :DDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDD
    6·2 answers
  • Last year a large trucking company delivered 9.0* 10^5 tons of goods with an average value of $17,000 per ton. What was the tota
    14·2 answers
  • What is the solution to the inequality?
    10·2 answers
  • Marsha has two cubes with one number on each side,each cube is numbered from 1 to 6 marsha rolls both number cubes at the same t
    13·1 answer
  • Order of Operation
    6·2 answers
  • So so sorry, but i have another one~ in this, the numbers can be used only once
    8·2 answers
  • If m∠FBE=(4x+2)° and m∠EBD=(5x−13)°, then m∠FBA=
    6·1 answer
  • 3 cm<br> 18 cm<br> 30 cm<br> 3 cm<br> 18 cm
    5·1 answer
  • Find the values of x and y that make mIIn
    15·1 answer
  • HELP ASAP.....NO LINKS AND NO TROLLING PLS
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!