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
DENIUS [597]
2 years ago
12

Solve the quadratic equation by completing the square. QUESTION ATTCHED BELOW!!!!!!!!!!

Mathematics
2 answers:
Maru [420]2 years ago
6 0

Answer:

{-6.59, -9.41}

Step-by-step explanation:

I like this problem. In order to start solving by completing the square, you need to get the left side in this form: a^2 + bx. Everything else needs to go to the other side of the equation. So step 1, subtract 62 from both sides. And the equation should look like x^2 + 16x = -62.

Then for step 2 you need to add (b/2)^2 to both sides. b is the 16 in our equation. So (16/2)^2 equals 64. So add 64 to both sides. So the equation should look like x^2 + 16x + 64 = 2. Now, you have completed the square and just need to factor for step 3. Because we completed the square, x^2 + 16 x + 64 will factor into the form (x + (b/2))^2. So it'll look like (x+8)^2 = 2. This is where you can click which form it is on your computer. It's addition, and fill in the numbers from left to right as 8 and 2. Step 4 is taking the square root of both sides. The square root on the left side will just cancel the square and leave you with x + 8, and the square root 2 - I would wait to simplify, so just leave it as x + 8 =

\sqrt{2}

For step 5, you need to isolate x by subtracting 8 from both sides. So now you should have x = \sqrt{2}

- 8. Now to simplify for step 6. Now in the calculator, type "sqr rt btn" 2 (close any parentheses at this point) and type minus 8. This is one solution - -6.59. Then, because you have a positive and negative solution from a square root, type neg. "sqr rt btn" 2 close parentheses for square root and neg if applicable, and type minus 8. and you should get -9.41 as your other solution. Now to go back and check out solutions, plug in one solution to x into the calculator and solve it. If the final statement is true, then the solution is true. then do same thing for other solution. Make sure they are rounded to the nearest hundredth as the directions read.

Mariulka [41]2 years ago
4 0

Answer:

x ≈ - 9.41, x ≈ - 6.59

Step-by-step explanation:

Given

x² + 16x + 62 = 0 ( subtract 62 from both sides )

x² + 16x = - 62

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(8)x + 64 = - 62 + 64

(x + 8)² = 2 ( take the square root of both sides )

x + 8 = ± \sqrt{2} ( subtract 8 from both sides )

x = - 8 ± \sqrt{2}

Hence

x = - 8 - \sqrt{2} ≈ - 9.41

x = - 8 + \sqrt{2} ≈ - 6.59

You might be interested in
Can somebody please help me order the numbers from greatest to least
meriva
|16| , | -15| , |-14|, |13|
3 0
3 years ago
Read 2 more answers
Multiply. x + 4x + 2 2x2 + 3x – 4​
Yuliya22 [10]

Answer:

I think question is:

(x+4x+2)(2x^2+3x-4)

:(5x+2)(2x^2+3x-4)

5x(2x^2+3x-4)+2(2x^2+3x-4)

10x^3+15x^2-20x+4x^2+6x-8

10x^3+19x^2-14x-8

7 0
3 years ago
The circumference of the base of a cylinder with a diameter of 10cm
storchak [24]
C = 2πr
C = 2π5
C = 2 (3.14) (5)
C = 2 (15.7)
C= 31.4
4 0
3 years ago
Read 2 more answers
Design the image of UAE Mars mission-rocket in the following graph sheet and write
Minchanka [31]

i hope these 3 images helps

6 0
3 years ago
What is the simplest form of 8/28?
Marizza181 [45]
2/7 because both 8 and 28 are divisible by 4
5 0
2 years ago
Read 2 more answers
Other questions:
  • Hector waters his lawn if it does not get least 1 1/2 inches of rain each week. it has rained 3/8 inch already this week. which
    15·2 answers
  • Draw and label a hexagonal prism then identify each of the following a. Parallel planes,b.skew lines,c. Intersecting planes
    14·1 answer
  • A triangle has an area of 72 square inches. If the base of the triangle has a length of 18 inches, what is the height of the tri
    5·1 answer
  • Which expression is equivalent to 14 x 14? <br><br> 2^2 <br> 2^14 <br> 14^2<br> 14^14
    8·1 answer
  • What is the cost of 1 shirt if I have 3 shirts and 2 scarves totaling $94?
    15·1 answer
  • Fill in the blanks to complete the sentence.
    13·1 answer
  • The air conditioning unit for marcus building has the shape of a cube and has a volume of 0.512 cubic meters.This air conditione
    13·1 answer
  • 1 1/2x1 1/3x1 1/4x 1 1/5
    10·1 answer
  • What does 0= -12 mean regarding the solution to the system?
    14·2 answers
  • I NEED HELP PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!