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
pychu [463]
3 years ago
12

Solve 2x2 – 6x + 10 = 0 by completing the square.

Mathematics
1 answer:
astraxan [27]3 years ago
4 0

Answer: x = 6.32 or -0.32

Step-by-step explanation:

2x² - 6x + 10  = 0

No we divide the expression by 2 to make the coefficient of x² equals 1

We now have

x² - 3x + 5     = 0

Now we remove 5 to the other side of the equation

x² - 3x          = -5

we add to both side square of  half the coefficient of x which is 3

x² - 3x + ( ⁻³/₂)²  = -5 + (⁻³/₂)²

(x  -  ³/₂)²           = -5 + ⁹/₄

Resolve into fraction

(x  - ³/₂)²             = ⁻¹¹/4

Take the roots of the equation

 x - ³/₂               = √¹¹/₄

 x - ³/₂               = √11/₂

x                       = ³/₂ ± 3.32/₂

                         = 3+ 3.32 or 3 - 3.32

                         =  6.32 or - 0.32

You might be interested in
3x-2=3<br> X=<br> Explain too please
Lubov Fominskaja [6]

3x-2=3

3x=3+2

3x=5

x=5/3

Answer : According to the information provided in the question, the value of 'x' is 5/3

5 0
3 years ago
Read 2 more answers
Item 5<br> What is the interquartile range of this data set?
fomenos

Answer:

its 13.0

Step-by-step explanation:

brainliest please

8 0
2 years ago
Please help me with this question! i will give brainiest if correct! (if you show me how to lol i have no idea how)
Nitella [24]

Answer:

  • y(2x² + y) / x(5y² - 6x)

Step-by-step explanation:

<u>Simplify the numerator:</u>

  • 1/x² + 2/y =
  • y/(x²y) + 2x²/(x²y) =
  • (2x² + y)/(x²y)

<u>Simplify the denominator:</u>

  • 5/x - 6/y² =
  • 5y²/(xy²) - 6x/(xy²) =
  • (5y² - 6x) / (xy²)

<u>Simplify the fraction:</u>

  • (2x² + y)/(x²y) ÷ (5y² - 6x) / (xy²) =
  • (2x² + y)/(x²y) × xy² / (5y² - 6x) =
  • y(2x² + y) / x(5y² - 6x)
7 0
2 years ago
Which expression shows (45 + 15) in the form a(b+c) where a is the greatest common factor
4vir4ik [10]

Answer:

answer is a. 15(3+1)

Step-by-step explanation:

um this makes sense lmk if I'm wrong

4 0
1 year ago
Chapter 8 question 18<br> please help
MA_775_DIABLO [31]
4744 feet. work below. please mark brainliest.
4 0
3 years ago
Other questions:
  • Please need help on this one
    14·2 answers
  • The ratio of the number of model cars that Jim owns to the number of model cars Terrence owns is 4 : 3. Terrence owns 36 models
    15·1 answer
  • Plz help its not that hard I just don't understand it
    14·1 answer
  • 100 POINTS!!!
    6·1 answer
  • Please Please Please Help Me
    5·1 answer
  • Pls help I fell asleep while doing hw and I gotta turn it in at 6 pls help. No false answers.
    8·1 answer
  • The equation y = 40x shows the number
    6·1 answer
  • Dara buys a small drink for $1.75. A large drink costs 1.6 times as much as a small drink. How much does a large drink cost?
    15·2 answers
  • Mohamed earns $8 per hour for the first 40 hours. He earns $12 per hour for each hour he works over 40 hours in a week. Mohamed'
    15·1 answer
  • What is the area of the trapezoid? If necessary, round your answer to the nearest tenth.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!