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
yaroslaw [1]
3 years ago
10

The equation 2x^2 – 8x = 5 is rewritten in the form of 2(x – p)^2 + q = 0. what is the value of q?

Mathematics
1 answer:
QveST [7]3 years ago
6 0

Answer:

q = -13

Step-by-step explanation:

The given equation is:

2x^{2}-8x=5

Taking 2 as common from left hand side, we get:

2(x^{2}-4x)=5\\\\2[x^{2} - 2(x)(2)]=5

The square of difference is written as:

(a-b)^{2}=a^2 - 2ab + b^{2}                            Equation 1

If we compare the given equation from previous step to formula in Equation 1, we note that we have square of first term(x), twice the product of 1st term(x) and second term(2) and the square of second term(2) is missing. So in order to complete the square we need to add and subtract square of 2 to right hand side. i.e.

2[x^{2}-2(x)(2)+(2)^2-(2)^{2}]=5\\\\ 2[x^{2}-2(x)(2)+(2)^2]-2(2)^{2}=5\\\\ 2(x-2)^{2}-2(4)=5\\\\ 2(x-2)^2-8=5\\\\ 2(x-2)^{2}-8-5=0\\\\ 2(x-2)^{2}-13=0

Comparing the above equation with the given equation:

2(x-p)^{2}+q=0, we can say:

p = 2 and q= -13

You might be interested in
Which of the following, if substituted for y, would make the following inequality a true statement? –14 < y – 12?
trasher [3.6K]
Any number that is larger than -2.
For example y=0
-14 < 0-12
= -14 < -12
3 0
3 years ago
How would you solve for these
statuscvo [17]

Answer: 1) x> -21

2) x is less than or equal to -21

3) x is less than or equal to 16

4) x less than or equal to 3/4

8 0
2 years ago
If a function is written in slope intercept form, y=mx+b, the x represents the ______.
Hitman42 [59]

The x in y = mx + b represents the input, C.

4 0
3 years ago
True or false 398+9 = 400+8
defon

Answer: False

Step-by-step explanation:

398 + 9 = 407

400 + 8 = 408

If the equation was 398 + 10 then yes it will be equal to 400 + 8

4 0
2 years ago
So yall... what's up?
Alexeev081 [22]
I believe it is option choice A, because that is the most reasonable and efficient
3 0
3 years ago
Other questions:
  • Brandon earns a rebate each month on his meals and movie tickets. He earns $0.50 for each movie ticket and $2 for each meal. Las
    5·1 answer
  • Given that a is the longest side length in the triangle, which of the following inequalities would make the triangle above an ob
    11·1 answer
  • Please help will give BRAINLIEST
    14·1 answer
  • A clothing store sells 30 shirts a day for $20 each. The clothing store's daily shirt revenue is A) $500 B) $5,000 C) $600 D) $6
    6·2 answers
  • Find the value of x. ​
    7·2 answers
  • Y + 5/6 = 1 4/5. What does Y=? Explain your answer.
    8·2 answers
  • Simple equation with division that equals 8
    5·2 answers
  • The dataset below represents the population densities per square mile of land area in 15 states in the 2010 U.S. Census. What is
    11·1 answer
  • Y=5x+7 and passes through (4,3) <br><br> the answer is y=5x-17 <br><br> How do you get the -17?
    8·1 answer
  • Convert 88 feet per second into kilometers per hour.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!