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
Amiraneli [1.4K]
3 years ago
7

Using completing the square method in quadratic equation 5x²+ 11x + 2=0​

Mathematics
1 answer:
bezimeni [28]3 years ago
7 0

Answer:

x= 1/5 or -2

Step-by-step explanation:

5x² +11x +2= 0

(Divide through by the coefficient of x²)

5x²/5 + 11x/5 + 2/5 = 0/5

x² + 11x/5 + 2/5 = 0

(take the constant to the other side)

x² + 11x/5 = -2/5

(Add 1/2 of the coefficisint of x all square to both sides)

x² + x + (11/5 × 1/2)² = -2/5 + (11/5 × 1/2)²

x² + x + (11/10)² = -2/5 + (11/10)²

x² + x + (11/10)² = -2/5 + 121/100

(eliminate x )

x² + (11/10)² = (20(-2) + 121 ) ÷ 100

(x + 11/10 )² = (-40 + 121) ÷ 100

(x + 11/10 )² = 81/100

(square both sides)

x + 11/ 10 =√(81/100)

x + 11/10 = 9/10

x = -11/10 +or- 9/10

x = -11/10 + 9/10 or -11/10 - 9/10

x = (-11 + 9) ÷ 10 or (-11-9) ÷ 10

x = -2/ 10 or -20/10

x = -1/5 or -2

You might be interested in
600 centimeters__5 meters
uranmaximum [27]
600 centimeters > 5 meters
4 0
3 years ago
Simplify <br><br>x - ( - 6 x )​
ser-zykov [4K]

Answer:

7x

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
A kingfish needs to be cut into 8-ounce pieces. If the fish weights 12.5 pounds, how many pieces can be cut? 1 pound=16 ounces
Mkey [24]

Answer:

25 pieces

Step-by-step explanation:

12.5 * 16= 200 ounces

therefore 200/8=25

7 0
3 years ago
If Carl was born in January 1931 how old is he now?
ANEK [815]

Answer:

Step-by-step explanation:

He would be 87 years old right now

5 0
3 years ago
What is the surface area of the breadbox
kozerog [31]

Answer:

Step-by-step explanation:

surface area of two sides=2[(8×8)+π×8²/4]

=2[64+16π]

=128+32π

surface area of curved surface=2πrh/4

surface along length=base (16×16)+2×(16×8)+2×π×8/4 ×16

=256+256+64π

=512+64π

Total surface area=128+32π+512+64π

=640+96π

≈640+302

≈942 in²

8 0
3 years ago
Other questions:
  • 180 red marbles to 145 blue marbles write the ratio in simplest form
    13·1 answer
  • What is the equation of a line that passes through the point (4, 2) and is perpendicular to the line whose equation is y=x/3 −1
    13·2 answers
  • x2 + y2 − 4x + 12y − 20 = 0 (x − 6)2 + (y − 4)2 = 56 x2 + y2 + 6x − 8y − 10 = 0 (x − 2)2 + (y + 6)2 = 60 3x2 + 3y2 + 12x + 18y −
    7·1 answer
  • O
    7·1 answer
  • Solve for x<br> X^2+6x+9=20
    14·2 answers
  • Find the equation of the line shown
    10·1 answer
  • What is the slope of the line on the graph?
    12·1 answer
  • Two dice are rolled at the same time, what is the likelihood that both dice added together will be greater than or equal to four
    14·1 answer
  • If y varies inversely as x and } = 3 when x = 4, then y
    13·1 answer
  • Akiko drew a parallelogram with base of 7 yards and area of 21 square yards. Find its height (nearest tenth). Tahel required​
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!