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
My name is Ann [436]
2 years ago
10

When deriving the quadratic formula by completing the square, what expression can be added to both sides of the equation to crea

te a perfect square trinomial?
Mathematics
2 answers:
____ [38]2 years ago
7 0

Answer:

According to steps 2 and 4. The second-order polynomial must be added by -c and b^{2} to create a perfect square trinomial.

Step-by-step explanation:

Let consider a second-order polynomial of the form a\cdot x^{2} + b\cdot x + c = 0, \forall \,x \in\mathbb{R}. The procedure is presented below:

1) a\cdot x^{2} + b\cdot x + c = 0 (Given)

2) a\cdot x^{2} + b \cdot x = -c (Compatibility with addition/Existence of additive inverse/Modulative property)

3) 4\cdot a^{2}\cdot x^{2} + 4\cdot a \cdot b \cdot x = -4\cdot a \cdot c (Compatibility with multiplication)

4) 4\cdot a^{2}\cdot x^{2} + 4\cdot a \cdot b \cdot x + b^{2} = b^{2}-4\cdot a \cdot c (Compatibility with addition/Existence of additive inverse/Modulative property)

5) (2\cdot a \cdot x + b)^{2} = b^{2}-4\cdot a \cdot c (Perfect square trinomial)

According to steps 2 and 4. The second-order polynomial must be added by -c and b^{2} to create a perfect square trinomial.

atroni [7]2 years ago
3 0

it can also be explained as D on edg if you still needed the answer :)

You might be interested in
What is f(x)=2x-1 if x=0
mrs_skeptik [129]

Answer:

f=\frac{2x-1}{x}

Step-by-step explanation:

3 0
3 years ago
What is the whole nunnery 13,260,000in expanded form?
Katyanochek1 [597]

Answer:

13,000,000+200,000+60,000

Step-by-step explanation:

7 0
3 years ago
How do I do number 4?
Galina-37 [17]
What are you trying to find?
4 0
3 years ago
Read 2 more answers
What is the value of e^infinity and e^-infinity
valentinak56 [21]
E^(∞): This is defined as 'e' being raised to a huge value. Hence the result will definitely be a large number which is also infinity (∞), i.e. e^(∞) = ∞. e^(- ∞) = 1/e^(∞) = 1/∞ = 0.
8 0
3 years ago
How Do I To Study Effectively?
dangina [55]
Studying effectively is more harder than it sounds, but the best way to get in the zone in finding what things you prefer. Do you like silence or do you like to listen to music? Another thing when looking forward to studying is determining what you want to accomplish in each study session. To ensure you are studying your brain to the max is making flash cards and testing your own limit’s.
4 0
2 years ago
Read 2 more answers
Other questions:
  • The sum of a number I and 9 and 15
    11·1 answer
  • A quarter is 1/4 dollar. Nonny has 28 quarters. how much money does she have?
    15·2 answers
  • Which fractions are equivalent? Explain how you know.
    8·1 answer
  • Please help me solve for r
    12·1 answer
  • Number 6 and 8 thx :)))))
    11·2 answers
  • A rectangular pitcher is 3 inches wide, 9 inches long and 16 inches tall. If water is filled up to 5 inches, how much more water
    10·1 answer
  • I really need this no links or report but mark brainliest i do answer correctly
    10·1 answer
  • A piece if wire 40cm is bent to form a right angled triangle whose hypotenuse is 17cm long find the other two sides of triangle
    15·1 answer
  • Edmund made a scale drawing of the rectangular floor of his kitchen. In the scale
    14·1 answer
  • Free BRAINLESS it could be youea​
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!