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
bekas [8.4K]
3 years ago
13

Rewrite the equation by completing the square. 4x2 + 28x + 49 = 0 (x+) =

Mathematics
1 answer:
Vlada [557]3 years ago
4 0

Answer: x = - 3.5

Step-by-step explanation:

Rewrite the equation by completing the square.

4x2 + 28x + 49 = 0

Completing the square method :

Divide through by the Coefficient of x^2

x^2 + 7x + (49/4) = 0

a = 1, b = 7, c = 49/4

Move c to the right side of the equation

x^2 + 7x = - 49/4

Complete the square on the left hand side by squaring its half of the x term

(7/2)^2 = (49/4)

Add the output to both sides of the equation

x^2 + 7x + (49/4) = - (49/4) + (49/4)

(x + 7/2)^2 = 0

Square root of both sides

x + 7/2 = 0

x = - 7/2

x = - 3.5

You might be interested in
PLEASE HELP 35 POINTS<br> Find the value of x in the triangle shown below.
BartSMP [9]

Answer:

B sqrt(17)

Step-by-step explanation:

Using pythagoras theorem

7 0
3 years ago
How do you solve that?
Aleks [24]
Put it in the form 

ax^2 + bx + c = 0 

use the quadratic formula

x =  [ -b + sqrt( b^2 - 4 ac )  ] / 2a


x =  [ -b - sqrt( b^2 - 4 ac )  ] / 2a

7v^2 - 7v - 22 = 0

a = 7 
b = -7
c = -22

v = [  7 + sqrt ( 49 - 4 * 7 ( -22) ] / 2 * 7  = 2.34

v = [  7 - sqrt ( 49 - 4 * 7 ( -22) ] / 2 * 7  = -1.34


7 0
3 years ago
Read 2 more answers
Makir is saving up his money to buy a iPad that costs $475.99. Right now he has $196.00, and can save $45.00 each week. How many
ehidna [41]
Answer:
5 weeks
Step-by-step explanation:
319.50-21.95=297.55
297.55/63.00=4.72
Since he can't wait for those many weeks, you would round it to 5 so he has enough money
5 0
3 years ago
Read 2 more answers
Can someone explain these to me?
s344n2d4d5 [400]

Answer:

Question 2: 4^12

Question 3: (9/64x)^11

Step-by-step explanation:

4 0
2 years ago
On a very cold morning, it was -7°F. As the day went on, the temperature rose 3 degrees each hour. Which equation shows the temp
Anastasy [175]
It is C. Yep. Hope it was helpful
7 0
3 years ago
Other questions:
  • A pair of dice is rolled, and the number that appears uppermost on each die is observed. Refer to this experiment and find the p
    13·1 answer
  • What is four and -7 If M equals five
    10·1 answer
  • Factorise this with working: 3x – <img src="https://tex.z-dn.net/?f=%20x%5E%7B2%7D%20" id="TexFormula1" title=" x^{2} " alt=" x^
    12·1 answer
  • Juvi is baking oatmeal raisin cookies and fudge brownies! To make 4 batches of brownies, Juvi needs 2/3 of a cup of sugar. She a
    11·1 answer
  • - Paula's time swimming in the Ironman Triathlon was 1 hour 25 minutes. Her time biking was 5
    5·1 answer
  • A ticket to a play costs $50. there is a 5% transaction fee. what is the total cost of the ticket
    8·2 answers
  • Is it proportional when Y-intercept is not the origin
    6·1 answer
  • Solve triangles suing the law of sines
    14·1 answer
  • A rectangular cake pan has a volume of
    13·2 answers
  • For the polyhedron, use Euler's Formula to find the missing number.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!