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]
3 years ago
15

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

Mathematics
1 answer:
aleksandrvk [35]3 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
Plan G is paid £14,000 for a concert. If the money made is split at 2:5 between Plan G and the arena. How much money did the are
77julia77 [94]
From the given ratio, we can get the percentages of the money that Plan G and the arena gets.
              Plan G percentage = (2/(2 + 5)) x 100% = 28.57%
                  Arena percentage  = (5/(2 + 5)) x 100% = 71.43%
We then multiply the amount they get by the decimal equivalent of the percentage of the arena.
                      Amount for arena = (£14,000) x (0.7143) = £10,000.2
7 0
3 years ago
What is 29 is 6 more than k
andreev551 [17]

Answer:

29 = 6 + k

k = 23

Step-by-step explanation:

The equation for that would be:

29 = 6 + k

and the answer would be:

29 = 6 + k

-6   -6

23 = k

k = 23

6 0
3 years ago
It takes about 20 hours to drive from Columbus to Houston which is about 1180 miles. What is the unit rate?
Margaret [11]

Answer:

it would be 59 miles per hour

Step-by-step explanation:

1180/20=59

4 0
3 years ago
Read 2 more answers
19 square root of 3 + square root of 12
Talja [164]

Answer:

5.2

Step-by-step explanation:

I think

3 0
3 years ago
Read 2 more answers
Help!! Find missing value for each quadratic function
Svetllana [295]

I'll do the first one to get you started. The answer is -3

=================================================

Explanation:

When x = -1, y = 0 as shown in the first column. The second column says that (x,y) = (0,1) and the third column says (x,y) = (1,0)

We'll use these three points to determine the quadratic function that goes through them all.

The general template we'll use is y = ax^2 + bx + c

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

Plug in (x,y) = (0,1). Simplify

y = ax^2 + bx + c

1 = a*0^2 + b*0 + c

1 = 0a + 0b + c

1 = c

c = 1

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

Plug in (x,y) = (-1,0) and c = 1

y = ax^2 + bx + c

0 = a*(-1)^2 + b(-1) + 1

0 = 1a - 1b + 1

a-b+1 = 0

a-b = -1

a = b-1

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

Plug in (x,y) = (1,0), c = 1, and a = b-1

y = ax^2 + bx + c

0 = a(1)^2 + b(1) + 1 ... replace x with 1, y with 0, c with 1

0 = a + b + 1

0 = b-1 + b + 1 ... replace 'a' with b-1

0 = 2b

2b = 0

b = 0/2

b = 0

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

If b = 0, then 'a' is...

a = b-1

a = 0-1

a = -1

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

In summary so far, we found: a = -1, b = 0, c = 1

Therefore, y = ax^2 + bx + c turns into y = -1x^2 + 0x + 1 which simplifies to y = -x^2 + 1

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

The last thing to do is plug x = 2 into this equation and simplify

y = -x^2 + 1

y = -2^2 + 1

y = -4 + 1

y = -3


3 0
3 years ago
Other questions:
  • A triangle has a base of 15 feet and a height of 9.5 feet. What is the area of the triangle
    13·2 answers
  • How do you solve for X
    6·1 answer
  • I lullaby to has a weight limit of one time. There are three people inside the elevator. Each person weighs 150 pound. How many
    15·1 answer
  • A cookie recipe uses V2 teaspoon of vanilla with 3/4 cups of flour. How
    10·1 answer
  • Sorry for spamming but may i get help on this last one
    9·2 answers
  • Find the distance between the points (1.0) and (0.2)
    13·1 answer
  • PLS HELP MEEEEEEEEEE :(
    13·2 answers
  • Jamal owns a parking garage and is trying to find the relationship between hour of the day and number of cars in the garage. He
    6·2 answers
  • Rent paid in advance rs 500 in journal???<br>salary rs 2000 was due but not yet paid in journal???​
    6·1 answer
  • Mrs. Davis drove 35% less miles then Mrs. Fields last year. Mrs. Fields drove 30,500 miles. How many miles did Mrs. Davis drive?
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!