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
lozanna [386]
3 years ago
15

What are the solutions of the equation (x + 2)2 + 12(x + 2) – 14 = 0? Use u substitution and the quadratic formula to solve.

Mathematics
2 answers:
alukav5142 [94]3 years ago
8 0

Answer:

answer is A


Step-by-step explanation:


Lisa [10]3 years ago
5 0
(x + 2)²<span> + 12(x + 2) – 14 = 0

</span>(x +2) ² we use the formula (a+b)² = a² + 2ab + b²
<span>
(x</span>² + 2*2*x + 4 ) + (12*x + 12 * 2 ) - 14 = 0
(x² + 4x + 4) + (12x + 24) - 14 = 0
x² + 4x + 4 + 12x + 24 - 14 = 0

<span>we sort expressions
</span>x² + 4x + 12x + 4 + 24 - 14 = 0

<span>reduce
</span>x² + 16x + 14 = 0 

a = 1    b = 16     c=14

Δ = b² - 4ac = 16² - 4*1*14 = 256 - 56 = 200
√Δ = √(2*10*10) = 10√2

x_{1}  =  \frac{-b -  \sqrt{delty} }{2a}  =  \frac{-16 - 10 \sqrt{2} }{2*1}  =  \frac{-8 -5 \sqrt{2} }{1}  = -8 -5 \sqrt{2}

x_{2}  =  \frac{-b +  \sqrt{delty} }{2a}  =  \frac{-16+ 10 \sqrt{5} }{2*1} =  \frac{-8 + 5 \sqrt{2} }{1}  =  -8 + 5 \sqrt{2}

Answer A


You might be interested in
How much heavier is a 9 1/8 pound box than a 2 5/6 pound box?
tatuchka [14]
<span>So let’s simplify the given situation.
We need to find out how much heavier is 91/8 lbs. compare to 2 5/6 lbs.
Since, it’s a combination of whole number and fraction; we cannot directly subtract this given equation. We need to convert the two given number into a fraction.
9 1/8 = 8 x 9 = 72 + 1 = 73, 73 is our numerator and 8 is our denominator
=> 73/8
2 5/6 = 6 x 2 = 12 + 5 = 17, 17 is our numerator and 6 is our denominator
=> 17/6

Now, we have 2 fractions with unlike denominator. In order to get a common denominator, we have to find their least common factor.

=> <u>73</u> - <u>17  </u> = <u>73 x 6 </u> - <u>17 x 8 </u> <u>
</u>       8      6        8 x 6       6 x 8</span><span>
=> <u>438</u> – <u>136 </u> Now, we have the same denominator, subtract</span><span>
      48       48
=> <u>302 </u> or  <u>151</u>
       48          24
=> 6 <u>7</u>
       24
Therefore 9 1/8 lbs. is 6 7/24 lbs. heavier than 2 5/6 lbs.</span>



4 0
3 years ago
(please zoom / zoom out if needed to see question. (: ) (Worth 10 Points Each)
damaskus [11]
Area of the first one is has a area of 162
the second one has a area of 189
the third one has an area of 162
the fourth one has a area of 12
4 0
3 years ago
Read 2 more answers
Does anyone know how to find this I'm studying and me and my family don't understand! I only need help on #17
avanturin [10]

Answer:

<u>4</u>

Step-by-step explanation:

Hi so basically you just convert the inches to decimals so

0.5 x 0.5 x 0.25 = 0.0625

Use a calculator to convert 0.0625 into fraction which is \frac{1}{16}

Multiply \frac{1}{4} by 3 = \frac{1}{64}

Then multiply \frac{1}{16} by \frac{1}{64} = 4

Soo that was probably very confusing, but I hope it helps! :)

Plz click the Thanks button, I rrly appreciate it!

5 0
3 years ago
Read 2 more answers
There are x candies in a box. 8 of the candies are caramel-flavored and rest of them are strawberry-flavored. If the probability
sukhopar [10]
There is 5 candies in the boxes
3 0
3 years ago
Which circle has a radius that measures 10 units?
almond37 [142]

Answer:

then the diameter is 20

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Other questions:
  • <img src="https://tex.z-dn.net/?f=%5Cpi%20%3D7x-2y" id="TexFormula1" title="\pi =7x-2y" alt="\pi =7x-2y" align="absmiddle" class
    13·1 answer
  • I really hope someone can hekp me with my hw<br>it's linear equations...
    12·1 answer
  • What is the answer to this please show work
    11·1 answer
  • What is the area of a circle with a radius of 40 cm?<br> cm2<br> (Use 3.14 for Pi.)
    12·1 answer
  • What is the difference between a quart and a half a gallon
    9·2 answers
  • ASAP HELP FOR QUESTION 4 ASAP
    12·1 answer
  • Estimate the sum of 502 and 47 by rounding both values to the nearest ten. What is the best estimate of the sum?
    11·2 answers
  • Can someone help me with this problem?
    5·1 answer
  • Please help me!! thank you
    11·1 answer
  • What is the domain of (f/g)(x) 3x+1 / 5x-1
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!