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
NeTakaya
2 years ago
14

Select the two values of x that are roots of this equation.

Mathematics
1 answer:
makkiz [27]2 years ago
5 0

Answer:

\implies x = (-2) \qquad or\qquad x = \dfrac{-3}{2}

Step-by-step explanation:

<u>Given </u><u>:</u><u>-</u><u> </u>

  • A quadratic equation is given to us.
  • The equation is 2x² + 7x +6=0

And we need to find out the roots of the given equation. We can use the middle term splitting method to find out the roots as ,

<u>Given </u><u>equation</u><u> </u><u>:</u><u>-</u>

\implies 2x^2 + 7x +6=0

Step 1: <u>Find</u><u> out</u><u> the</u><u> </u><u>factors</u><u> </u><u>of </u><u>1</u><u>2</u><u> </u><u>:</u><u>-</u><u> </u>

We will choose the two factors such that their sum equals to the coefficient of x i.e. 7 .The factors are , 1×12 , 2×6 , 3×4 .

  • And 3 + 4 = 7. So we will break the middle term into 3x and 4x .

Step 2 :<u> Breaking</u><u> the</u><u> </u><u>middle</u><u> term</u><u> </u><u>:</u><u>-</u><u> </u>

\implies 2x^2 + 3x+4x +6=0

Step 3: <u>Take </u><u>out </u><u>common</u><u> </u><u>from </u><u>terms </u><u>:</u><u>-</u>

\implies x(2x + 3) +2(2x +3)=0

\implies ( x +2)(2x+3)=0

Step 4 : <u>Equate </u><u>them </u><u>with </u><u>0</u><u> </u><u>:</u><u>-</u><u> </u>

\implies x = (-2) \qquad or\qquad x = \dfrac{-3}{2}

<u>Hence </u><u>the</u><u> </u><u>correct</u><u> </u><u>options </u><u>are </u><u>C </u><u>and </u><u>D </u><u>.</u>

You might be interested in
Triangle inequalities? Write &gt;, &lt;, =, or NC?
lord [1]
_Award brainliest if helped!
ST > MN
BA > BC
m<a > m<f 
m<L < m<R
6 0
3 years ago
What is true of the data in the Dot Plot check on that apply number of televisions per household?​
Aliun [14]

Answer:

first and last

Step-by-step explanation:

Total observations:

3 + 7 + 7 + 4 + 1 = 22

There are 22 observations, so data from 22 households

Median position: (n + 1)/2

(22 + 1)/2 = 23/2 = 11.5th value

median is the average of 11th and 12th values, both are 2. So the average is also 2

Therefore, Centre is at 2

4 0
3 years ago
Write the smallest possible odd number with all the following dight 5,2,3,7.​
Lubov Fominskaja [6]

Answer:

2357

Step-by-step explanation:

5 0
3 years ago
If x &gt; 0 and y &gt; 0, where is the point (x, y) located?
Lynna [10]

Answer:it’s in the origin

Step-by-step explanation:

6 0
2 years ago
A puppy weighs 2.8 pounds at birth and gains about .5 pounds per week. A kitten weighs 1.4 pounds at birth and gains about 1.2 p
Misha Larkins [42]

it’s hard to explain so look at the picture i attached to this :)

5 0
3 years ago
Other questions:
  • Using the figure below, find the value of x. Enter your answer as a simplified radical or improper fraction (if necessary)
    10·1 answer
  • Lisa has entered a check payment of $213.75 in her checkbook. If the old balance was $794, what is her latest balance? $1,007.75
    13·2 answers
  • A group of students must collect at least $160 to organize a science fair. They have already collected $20. Which graph best rep
    10·2 answers
  • The amount of money in a bank account that is compounded yearly can be represented by the function A(y) = P(1 + r)y, where P is
    5·2 answers
  • Someone answer this please kinda struggling
    13·2 answers
  • A dog ran along a fence 10 times. The fence is 5 feet 3 inches long. How far did the dog travel? (12 inches = 1 foot
    10·1 answer
  • A formula for the normal systolic blood pressure for a man age A, measured in mmHg, is given as P = 0.006A*2-0.02A + 120. Find t
    15·1 answer
  • PLEASE HELP I'VE WAISTED ABOUT 30 POINTS ON THIS AND ITS ALMOST LATE
    6·1 answer
  • What is the greatest common factor of 10, 30 and 45
    8·1 answer
  • Question 1 of 10
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!