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
MrMuchimi
3 years ago
8

Solving Quadratic Equations using the Square Root Property

Mathematics
1 answer:
Afina-wow [57]3 years ago
5 0

Answer:

x = -2   or   x = -5

Step-by-step explanation:

You need to complete the square before you can take the square root of both sides.

x^2 + 7x + 10 = 0

Subtract 10 from both sides.

x^2 + 7x = -10

To complete the square, you need to add the square of half of the x-term coefficient to both sides.

The x-term coefficient is 7. Half of that is 7/2. Square it to get 49/4. Now we add 49/4 to both sides of the equation.

x^2 + 7x + \dfrac{49}{4} = -10 + \dfrac{49}{4}

(x + \dfrac{7}{2})^2 = -\dfrac{40}{4} + \dfrac{49}{4}

(x + \dfrac{7}{2})^2 = \dfrac{9}{4}

Now we use the square root property, if

x^2 = k, then

x = \pm \sqrt{k}

x + \dfrac{7}{2} = \pm \sqrt{\dfrac{9}{4}}

x + \dfrac{7}{2} = \pm \dfrac{3}{2}

x + \dfrac{7}{2} = \dfrac{3}{2}   or   x + \dfrac{7}{2} = -\dfrac{3}{2}

x = -\dfrac{4}{2}   or   x = -\dfrac{10}{2}

x = -2   or   x = -5

You might be interested in
Nine out of 10 students prefer math class over lunch how many students do not prefer math is 200 students were asked
max2010maxim [7]

Answer:

20 students prefer math



4 0
3 years ago
Read 2 more answers
Determine the zeros of the expression -16t^2-8t+24.
Lina20 [59]
-16t^2-8t+24=-8(2t^2+t-3)=-8(2t^2+3t-2t-3)\\\\=-8[t(2t+3)-1(2t+3)]=-8(2t+3)(t-1)\\\\\text{the zeros}\\\\2t+3=0\to t=-1.5\\t-1=0\to t=1\\\\Answer:\ \boxed{-1.5\ and\ 1}
6 0
3 years ago
Triangle WXY has coordinates W(1, 4), X(1, 1), and Y(4, 1). Which of the following sets of points represents a dilation of trian
Dmitrij [34]
The answer is the second option, option B, which is: B. <span>W'(2,8), X'(2,2), Y'(8,2)
</span> The explanation is shown below:
 You have the Triangle WXY has coordinates W(1,4), X(1,1), and Y(4,1) and the Triangle of the option B has coordinates W'(2,8), X'(2,2), Y'(8,2). As you can notice, the coordinates of the new triangle are the result of multiply the coordinates of the original triangle by a scale of factor of 2. Therefore, in other words, the Triangle WXY was dilated with a scale of factor of 2.
5 0
3 years ago
If one root is the square root of the other in the equation 8 + mx + 27x^2 = 0, find the value of m​
ICE Princess25 [194]

Answer:

Step-by-step explanation:

6 0
3 years ago
Chris earns a fixed amount of money every month. At the end of 2 years, Chris had earned $86,688. He earned $ each year. He earn
Sophie [7]

Answer: He earned 43,344 a year and earned and earned 3612 a month

6 0
3 years ago
Other questions:
  • Find the inner product for (5,-1)*(-3,6) and state whether the vectors are perpendicular. a. 21; no c. -21; no b. 21; yes d. -21
    15·1 answer
  • How many times does 7 go into 60
    9·2 answers
  • Given the following Demand Curve: P = 24 - 8Q
    13·1 answer
  • Which disjunction is always true for any real number x?
    16·1 answer
  • A random sample of 26 restaurants was selected from all restaurants listed in Greenwich Village and their Zagat ratings were rec
    14·1 answer
  • Plz help me I am timed plz plus I am bad at math
    15·2 answers
  • 3<br> 个<br> 2x<br> 38<br> V-2<br> 24<br> 丰<br> 36<br> Z+88<br> X=
    15·1 answer
  • Last points! :( math!!
    7·1 answer
  • Tristian bought an orange that weighs 1/5 a pound
    8·1 answer
  • 2. Which answer of
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!