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
Ksenya-84 [330]
2 years ago
15

What are the solutions to the quadratic equation below x^2+20x+100=7​

Mathematics
1 answer:
aleksandrvk [35]2 years ago
7 0

First you must have the quadratic equal to zero. In order to do this you must subtract 7 to both sides

x^2 + 20x + (100 - 7) = 7 - 7

x^2 + 20x + 93 = 0

Now you must find two numbers who's sum equals 20 and their multiplication equal 93

Are there any? NO!

This means that you have to use the formula:

\frac{-b±\sqrt{b^{2} - 4ac} }{2a}

In this case:

a = 1

b = 20

c = 93

\frac{-(20) plus/minus\sqrt{20^{2} - 4(1)(93)} }{2*1}

\frac{-20 plus/minus\sqrt{400 - 372} }{2}

\frac{-20 plus/minus\sqrt{28} }{2}

^^^We must simplify √28

√28 = 2√7

so...

\frac{-20 plus/minus 2\sqrt{7} }{2}

simplify further:

-10 plus/minus\sqrt{7

-10 + √7

or

-10 - √7

***plus/minus = ±

Hope this helped!

~Just a girl in love with Shawn Mendes

You might be interested in
A soft drink costs $1.65, and each refill for the drink costs $0.95. If you have $4.50, how many refills can you purchase?
aleksandrvk [35]
You can apurchase 3 refills

5 0
3 years ago
Read 2 more answers
Note that WXYZ has vertices W(-1, 2), X(-5, 7), y(-1, -2), and Z (3, -7).
svp [43]

a. Slope of WZ = -2.25; Slope of WX = 5

b. WZ = √97; WX = √41

c. WXYZ is not a <em>rectangle, rhombus, nor a square</em>. We can conclude that: <em>D. WXYZ is none of these</em>.

<h3>Slope of a Segment</h3>

Slope = change in y/change in x

Given:

W(-1, 2), X(-5, 7), Y(-1, -2), and Z (3, -7)

a. Slope of WZ and slope of WX:

Slope of WZ = (-7 - 2)/(3 -(-1)) = -2.25

Slope of WX = (7 - 2)/(-1 -(-1)) = 5

b. Use distance formula, d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}, to find WZ and WX:

WZ = \sqrt{(3 - (-1))^2 + (-7 - 2)^2}\\\\\mathbf{WZ = \sqrt{97} }

WX = \sqrt{(-5 -(-1))^2 + (7 - 2)^2}\\\\\mathbf{WX = \sqrt{41} }

c. The quadrilateral WXYZ have adjacent sides that are not perpendicular to each other and have different slopes and different lengths, so therefore, WXYZ is not a rectangle, rhombus, nor a square. We can conclude that: <em>D. WXYZ is none of these</em>.

Learn more about slopes on:

brainly.com/question/3493733

5 0
2 years ago
Ehelp help help help help
IrinaVladis [17]

Answer:

The ratio of red to green crayons is 18 to 24 which can be reduced to 3 to 4.

Step-by-step explanation:

5 0
2 years ago
Please show steps in how to solve the problem 2 1/6 - 1 5/6
IgorC [24]

Answer: 2/6 or 1/3

Step-by-step explanation: First you want to change the two fractions to improper fractions, so 2 1/6 will become 13/6 and 1 5/6 will become 11/6.

Using those improper fractions, you subtract the numerators since the denominators are the same, so 13 - 11 is 2 for the numberator.

2/6 can be simplified into 1/3 by dividing the numerator and denominator by 2.

8 0
3 years ago
What feature might Samantha have used to sort these shapes into the same group
DerKrebs [107]

Answer:

picture?

Step-by-step explanation:

6 0
2 years ago
Other questions:
  • Pls helpp and explain
    11·1 answer
  • 30<br> Solve by elimination:<br> 2x - 3y = -6<br> -2x - 2y = 26 ,
    6·1 answer
  • 1)Simplify: 4d - 3e - 9d + 8e
    11·1 answer
  • Help me with this!! Will mark Brainliest
    11·1 answer
  • ASAP please help i’ll give brainliest
    9·1 answer
  • Answer this please I’m not sure of the answer
    5·1 answer
  • The following are the Consumer Price Index (CPI) for the years 1991-1993. All of the values use a reference year of 1986.
    11·1 answer
  • What is the ratio of the volumes of two similar rectangles, if the ratio of their perimeters is 2:9? ​
    8·1 answer
  • Find the approximate volume of a cylinder that has a diameter of 16 in. and a height of 10 in. Use 3.14 for π.
    10·2 answers
  • 5^(9x)=25^(4x+2) SHOW STEPSSSS
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!