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
Dmitrij [34]
3 years ago
15

What is the solution set of the equation using the quadratic formula?

Mathematics
1 answer:
oee [108]3 years ago
4 0

(1)

we are given

x^2+6x+10=0

we can use quadratic formula

\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}

x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}

now, we can compare and find a , b and c

we get

a=1,b=6,c=10

now, we can plug these values into quadratic formula

x=\frac{-6\pm \sqrt{6^2-4(1)(10)}}{2(1)}

x=\frac{-6+\sqrt{6^2-4\cdot \:1\cdot \:10}}{2\cdot \:1}

we can simplify it

x=-3+i

x=\frac{-6-\sqrt{6^2-4\cdot \:1\cdot \:10}}{2\cdot \:1}

x=-3-i

so, we will get solution

{−3+i, −3−i}.........Answer

(2)

we are given equation as

x^2-8x+14=0

Since, Jamal solve this equation by completing square

so, firstly we will move constant term on right side

so,  subtract both sides by 14

x^2-8x+14-14=0-14

x^2-8x=-14

we can write

-8x=-2\times 4\times x

so, we will add both sides by 4^2

x^2-8x+4^2=-14+4^2

we get

x^2-8x+16=-14+16..............Answer


You might be interested in
The minimum level of inventory needed to meet customer demand is called the
Licemer1 [7]

Answer:

minimum level of stock

4 0
3 years ago
What is 2 = y/5-8 plzzz answer!!!
umka2103 [35]
It's a simple linear equation in 'y'.  There is only one number that 'y' can be
that will make the equation a true statement.  That number is called the
'solution' to the equation.   Here's one way to find it:

You said that                         <u> 2  =  y/5 - 8</u>

Add  8  to each side:          10  =  y/5

Multiply each side by  5:  <em>  50  =  y</em>
3 0
3 years ago
Read 2 more answers
Will mixes 1/4 gallon of milk and 1/2 gallon of chocolate syrup to make chocolate milk. Each serving is 1/16 gallon. How many se
Dennis_Churaev [7]

Answer:

12 servings!

Step-by-step explanation:

1/4 equals 0.25 gallons, 1/2 gallons is 0.5, so Will will have a mix of 0.75 gallons. If each serving is 1/16 and 1/16 equals 0.0625, divide 0.75 by 0.0625 = 12 servings.

6 0
3 years ago
What's the simplified form of 2x + 3 – X + 5?<br> A.X-2<br> B.X-8<br> C. x+8<br> D. 3x + 8
allochka39001 [22]

Answer:

C

Step-by-step explanation:

Group like terms

= 2x - x +3 +5

Add the similar 'elements'

= x + 3 + 5

Add the numbers

3 + 5 = 8 + x

= x+8

8 0
3 years ago
What is the quotient of 4 divided by 9/10
kozerog [31]
The answer is 49/9 because you can first convert the fraction into a decimal and devide 4 and 0.9 and you will get 5.4 repeating and which is 49/9
3 0
3 years ago
Read 2 more answers
Other questions:
  • Factoring Polynomials (I don't know how to identify which is which)​
    12·1 answer
  • There are 527 pencils,646 erasers and 748 sharpeners. These are to be put in separate packets containing the same number of item
    5·1 answer
  • Square root of 3400 please =]
    13·2 answers
  • Vernon writes −2 3/10 as a fraction using the same method he knows for positive mixed numbers. His work is shown: Multiply the w
    15·1 answer
  • Factor 9s^2 - 36s + 35
    8·1 answer
  • Simplify the expression so there is only one positive power for each base. (5^-2 x 4^-4)^-2
    8·1 answer
  • We expect a car’s highway gas mileage to be related to its city gas mileage (in mpg). Data for all 1209 vehicles in the governme
    5·1 answer
  • Help anyone please help homie anyone god lord
    10·1 answer
  • Round 69581.491337 to the nearest thousand.
    15·1 answer
  • I need help with all the answers please and thank you ​
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!