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
rosijanka [135]
3 years ago
14

Hello there!

Mathematics
2 answers:
Goryan [66]3 years ago
6 0

(x^2+3)^2 + 7x^2+21=-10

We want to convert this equation in terms of m, where m = x^2+3

While solving this problem, I instantly noticed the x^2+3 in the first term of the equation. Replace that with m.

m^2 + 7x^2+21=-10

Simplifying the rest is not as obvious. Using the distributive property, we can change [7x^2+21] to [7(x^2+3)]

Do you see the "m" in here? Look again if you don't.

Now we can simplify the equation to m^2 + 7m=-10 and this cannot be simplified further.

I'm always happy to help someone who appreciates the help! :D

Misha Larkins [42]3 years ago
3 0

Answer:

m^2 +7(m) = -10

m^2 + 7m +10=0

(m+5) (m+2) =0

Are all acceptable versions of the equation

Step-by-step explanation:

(x^2 +3) ^2 + 7x^2 +21 = -10

(x^2 +3)^2 + 7( x^2+3) = -10

Replace x^2 +3 with m

m^2 +7(m) = -10

Add 10 to each side

m^2 + 7m +10=-10+10

m^2 + 7m +10=0

Factor

(m+5) (m+2) =0

Using the zero product property

m=-5  m=-2

Replace m with x^2 +3

x^2+3 = -5     x^2 +3 =-2

Subtract 3 from each side

x^2+3-3 = -5-3     x^2 +3-3 =-2-3

x^2 = -8                   x^2 = -5

x = ±2isqrt(2)             x = ±i sqrt(5)

You might be interested in
You have exactly $120 to spend on a new outfit. If your state has 8% sales tax, what is the highest pre-price tax you can pay wi
Mariulka [41]
<span>You have exactly $120 to spend on a new outfit. If your state has 8% sales tax, what is the highest pre-tax price you can pay without going over budget?8% of 120 is 110.4</span>
5 0
3 years ago
Color in equations what to color in 1+2+3+4=10 What cubes to color in?
Leni [432]
Can you explain more

4 0
3 years ago
Read 2 more answers
Sweater:regular price 50$ sale price ,42.50
Marina CMI [18]
The discount is $7.5 if the discount is what you are looking for.
$50 - $42.50 is $7.5
If you are looking for a percentage then the answer is 85%
7 0
3 years ago
Solve the problem please
Molodets [167]

Answer:

x = 9±sqrt(7)

Step-by-step explanation:

3(x-9)^2 =21

Divide each side by 3

3/3(x-9)^2 =21/3

(x-9)^2 =7

Take the square root of each side

sqrt((x-9)^2) =±sqrt(7)

x-9 =±sqrt(7)

Add 9 to each side

x = 9±sqrt(7)

4 0
3 years ago
[MATH] I need help on all of them! Please and thank you &lt;33
REY [17]

Answer:

2) 45

3) 25

4) 50%

5) 33.3%

6) 17.6

7) 500

8) 35%

9) 60

10) 87.5%

11) 2.64

12) 25%

13) 5.7

14) 85%

16) 75%

Step-by-step explanation:

2) 9 = 20% of x

9 * 5 = 45

3) 8% of x = 2

12.5 * 2 = 25

4) 39 = x(78)

39/78 = 1/2 = 50%

5) x(36) = 12

12/36 = 1/3 = 33.3...%

6) x = 0.8(22)

22/10 = 2.2

2.2* 8 = 16 + 1.6 = 17.6

7) 55 = 0.11(x)

55/11 = 5

5 * 100 = 500

8) 7/20 = 35/100 = 35%

9) 27 = 0.45(x)

27/45 = 3/5

3/5 * 100 = 300/5 = 60

10) . 49/56 = 7/8 = 0.875 = 87.5%

11) 6/100 = 0.06

0.06 * 44 = 2.64

12) 48/192 = 6/24 = 1/4 = 25%

13) 95/100 = 0.95

0.95 * 6 = 5.40 + 0.3 = 5.7

14) 68/80 = 34/40 = 17/20 = 85%

16) 108/144 = 9/12 = 0.75 = 75%

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

3 0
3 years ago
Other questions:
  • We have a right triangle that has am 8 meter and 21 meter leg .Find the hypotenuse
    10·1 answer
  • Carmen drew this figure to represent the dividend of a division expression.
    13·2 answers
  • The mailing list of an agency that markets scuba-diving trips to the Florida Keys contains 78% males and 22% females. The agency
    14·1 answer
  • Probability Question 2
    7·1 answer
  • Mary Beth has two hula-hoops with diameters of 24 inches and 28 inches.What is the best estimate of the difference between their
    14·1 answer
  • Can you help me with this question plzz?​
    11·1 answer
  • I need help on this question ​
    8·1 answer
  • What is JL brainliest for answer
    9·1 answer
  • Find the missing values in each row. Use the percent equation. A: Principal: $100 Interest rate: 5% Time in years: 3 Interest ea
    12·1 answer
  • Write an equivalent expression for 6(3g + 2) - 2g. Simplify the expression.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!