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
Reil [10]
1 year ago
12

A portion of the Quadratic Formula proof is shown. Fill in the missing reason.

Mathematics
1 answer:
katrin [286]1 year ago
6 0

The quadratic equation ax²+bx+c = 0 is given and this is illustrated below.

<h3>How to illustrate the equation?</h3>

ax²+bx+c = 0

Step 1: Subtract c from both sides

ax²+bx+c-c = 0-c

ax²+bx = -c

Step 2: Divide both sides of the equation by a

ax²/a + bx/a = -c/a

x² + bx/a = -c/a

Step 3: Complete the square and add the quantity (b/2a)² times a squared to both sides

x² + bx/a +  (b/2a)² = -c/a +  (b/2a)²

Step 4: Square the quantity b/2a on the right side of the equation

x² + bx/a +  (b/2a)² =  -c/a +  b²/4a²

Step 5: Find a common denominator on the right side of the equation which is 4a²

x² + bx/a +  (b/2a)² =  -4ac/4a² +  b²/4a²

Step 6: Add the fractions together on the right side of the equation

x² + bx/a +  (b/2a)² =  (-4ac+  b²)/4a²

Step 7: The equation on the left is to be written as a perfect square as shown

(x+b/2a)² =  (-4ac+  b²)/4a²

Step 8: Take the square root of both sides

√(x+b/2a)² = √ (-4ac+  b²)/4a²

(x+b/2a) =  √(-4ac+  b²)/2a

Step 9: subtract b/2a from both sides

x+b/2a - b/2a =  -b/2a + √(-4ac+  b²)/2a

x =  -b/2a + √(-4ac+  b²)/2a

Step 10: Add the fractions together on the right-hand side

x =  -b±√(-4ac+  b²)/2a

This will then gives the required equation.

Learn more about equations on:

brainly.com/question/2972832

#SPJ1

You might be interested in
78 * 40
Debora [2.8K]

Answer:

3120

Step-by-step explanation:

step 1:multiply 8 with 0 and 7 with 0

step 2:add a 0 in the end and multiply 8 with 4 . you get 32. take 2 and carry over 3. multiply 7 with 4. you get 28 . add 3 you get 31. now add. you get 3120

3 0
3 years ago
Read 2 more answers
6 ) hey pls help me with his I have the answers all I need is to show the work
morpeh [17]

Answer:

8

Step-by-step explanation:

use pythagoras theorem

a^2+b^2=c^2

a^2+6^2=10^2

a^2=10^2-6^2

a^2=100-36

a^2=64

a=square root of 64

a=8

5 0
3 years ago
What is 5 divied by 5
Serhud [2]

Answer:

5 divided by 5 is 1

4 0
3 years ago
What is 0.917 rounded to the nearest hundredths place
Luda [366]
Answer: 0.92

1-4: stay the same
5-9: round up!
7 0
3 years ago
Read 2 more answers
PLS HELP ASAP
Zanzabum

Answer:

2 x 2 x 2 x 2 = 16 possible outcomes

You have two sides of a coin, you flip 4 coins.

Now we just multiply 2 by itself 4 times.

4 0
3 years ago
Other questions:
  • Negative positive addition
    13·2 answers
  • 1). Write 658.129 in expanded form 2). Write &lt;,&gt;,or = to make the statement true 2929.87 ? 2929.087. 3). Round 8.61 to the
    15·2 answers
  • Please answer quickly, thank you. 25 points.
    10·1 answer
  • Julia opened a new flower shop, and her daily sales are modeled by f(x) = 2(1.25)x. Determine the rate of growth.
    13·2 answers
  • Sinplify this expression -3(10x+4y)+6(6x-2y)
    6·1 answer
  • A miniature golf course recently provided its customers with 6 golf balls, of which 3 were blue. What is the experimental probab
    7·1 answer
  • Can somebody help plz?
    7·1 answer
  • What is the slope of (-9,2), (2, -20)
    6·1 answer
  • Help pls if u know, what are the coordinates
    12·1 answer
  • Please can somebody help me with this question
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!