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
Molodets [167]
3 years ago
6

Subtract 2x/ x^2 -9 - 5/ x^2 - x - 12

Mathematics
1 answer:
Ipatiy [6.2K]3 years ago
5 0

Answer:

Let's do an example first and then summerize what are the techniques to complete the square for quadratic equation in order to solve for x. -2x^2 + 5x + 12 = 0 -2x^2 + 5x =  -12 -2 (x^2 - 5/2 x) = -12 so 2ab = 5/2 x  ("2ab" refers to the formula (a+b)^2 = a^2 + 2ab + b^2  or (a+b)^2 = a^2 - 2ab + b^2 ) Since a=1 (because x^2 is the a^2 in the formula), we get 2*1*b = 2b = 5/2 x, so b = 5/4 That means to complete the square we will add "b^2" (which is (5/4)^2 here) and then subtract (5/4)^2 in the parenthesis: -2 [ x^2 - 5/2 x + (5/4)^2 - (5/4)^2 ] =  -12 Now that is same as  -2 (x - 5/4 )^2 + (-2) * (-5/4)^2 = -12 To simplify it we follow these steps: -2 (x - 5/4 )^2 + 2 * 25/16  = -12 -2 (x - 5/4 )^2 + 25/8  = -12 Multiply both sides of the equation by 8 we get this: -16 (x-5/4)^2 +25 = -96 then -16 (x-5/4)^2  = -121   Techniques summerization: To complete the square for quadratic equation in order to solve for x, first we need to move the terms without x (which is "c" in the "ax^2+bx+c=0" form) to the right side of the equation. Then we divide both sides of the equation by "a" in the "ax^2+bx+c=0" equation. Through the formula (a+b)^2 = a^2 + 2ab + b^2  or (a+b)^2 = a^2 - 2ab + b^2 we will then figure out the value of "b", so then we know what is the b^2 we need to add then subtract. Finally just simplify the equation. Hope this helps.

Step-by-step explanation:

You might be interested in
What is the mean absolute deviation of the data set?<br><br> {0, 0, 0, 5, 0}
Rufina [12.5K]

Answer:

i dont understand...the meaning?

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
What is the difference between -3 and 7? *
Murrr4er [49]

Answer:

4

Step-by-step explanation:

Hope this helped

6 0
3 years ago
Read 2 more answers
After prime planting season was over, a horticulturist sold lilac bushes for $15.00. If the original price was $39.00, what is t
hoa [83]
Find what percent of $39.00 the sale price was.
=> 15/39*100=38.4%
now subtract from 100% to get the mark down percentage.
100-38.4=61.6
Final answer:
Marked down 61.6%
Hope I helped :)
4 0
3 years ago
If y varies inversely as x and y=3 when x=14, find x when y=6​
alukav5142 [94]
X=7 What you can do is look at the first two values given, and make them x1 and y1. Then your next value here is y2.

So x1 is 14, and y1 is 3. y2 becomes 6. X2 is unknown.

Then make the formula: x1/y2 is equal to x2/y1
(You are setting two fractions equal to each other)

That makes 14/6=X/3. When we cross multiply, we find that x=7.
3 0
2 years ago
A circle has a diameter with endpoints at –2 + i and –6 –11i. What is the center of the circle?
kotykmax [81]
Be more specific. Like what is it asking you to do ? I'm trying to help. :)
4 0
3 years ago
Other questions:
  • What point names the ordered pair (–2, 8)?<br><br> A. A<br><br> B. B<br><br> C. C<br><br> D. D
    15·1 answer
  • Solve x^2 +5x - 14 = 0​
    15·1 answer
  • Please help me with number 1 a
    10·1 answer
  • The perimeter of rectangle ABCF is 28cm <br> Calculate the area of the trapezium CDEF
    11·2 answers
  • Please help me quickly :)
    6·1 answer
  • A circle has a diameter with endpoints at (6, 5) and (8, 5). Write the equation for the circle.
    15·1 answer
  • Somebody please help me on multiple step equations with parenthesis.
    15·1 answer
  • Use the spider tool located on page 1 of this activity to draw a 12-pointed star for the new logo. (Hint:If the spider rotates 3
    10·1 answer
  • 2) HELP PLZZZ plz help me I need to finish now
    13·2 answers
  • 6c = 7c − 7<br> with work shown
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!