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
rosijanka [135]
3 years ago
7

Use the zero product property to find the solutions to the equation (x + 2) (x + 3) = 12

Mathematics
2 answers:
Inessa05 [86]3 years ago
6 0

Answer:

The solution of the equations are -6 and 1

Step-by-step explanation:

* <em>Lets explain how to solve the problem</em>

- We want to find the solution of the equation (x + 2) (x + 3) = 12

- <em>At first lets use the Foil method to multiply the two brackets</em>

 (x + 2) (x + 3) = (x)(x) + (x)(3) + (2)(x) + (2)(3)

 (x + 2) (x + 3) = x² + 3x + 2x + 6 ⇒ add the like term

 (x + 2) (x + 3) = x² + 5x + 6

∵ (x + 2) (x + 3) = 12

∴ x² + 5x + 6 = 12

- Subtract 12 from both sides

∴ x² + 5x - 6 = 0

- <em>Factorize the left hand side</em>

∵ x² = (x)(x)

∵ -6 = 6 × -1

∵ 6x + -1x = 5x

∴ (x + 6)(x - 1) = 0

- <em>Lets use the zero product property </em>

∵ (x + 6)(x - 1) = 0

∴ x + 6 = 0 ⇒ <em>OR</em> ⇒ x - 1 = 0

∵ x + 6 = 0

- Subtract 6 from both sides

∴ x = -6

∵ x - 1 = 0

- Add 1 to both sides

∴ x = 1

∴ The solution of the equations are -6 and 1

krok68 [10]3 years ago
4 0

Answer: The answer is A.

Step-by-step explanation:

You might be interested in
Are the following two binomials
Rainbow [258]

Answer: x = 2/3

Step-by-step explanation:

7 0
3 years ago
here a subtraction problem that has been solved incorrectly for 21-9=11 choose the addition sentence that check this subtraction
vitfil [10]

Answer:

21-9 = 12

Step-by-step explanation:

I don't know if this is the correct sentence you are looking for though but i hope it helps

6 0
3 years ago
In a normal distribution, a data value located 0.8 standard deviations below the mean has Standard Score: z =
Svetlanka [38]

Answer:

z= a letter before y

Step-by-step explanation:

7 0
3 years ago
What is 2 to the 10 power
Svet_ta [14]
2^10 is equal to 1024 (one thousand and twenty four)
3 0
2 years ago
Read 2 more answers
Use the PACED decision-making process to _____.
Alex_Xolod [135]
Use the PACED decision-making process to make a decision or make a choice. The steps to follow when making a decision can be easily remembered when you use the word PACED:
P - What is the PROBLEM - Why is there a need to make a choice?
A - What are the ALTERNATIVES - What are the possible choices available?
C - Establish the CRITERIA - Why is one choice better than the other?
E - EVALUATE the alternatives - How well does each choice meet the criteria?
D - Make a DECISION - What is the best choice?
6 0
3 years ago
Other questions:
  • Liam says - G) is equivalent to Explain if Liam is correct by completing the
    11·1 answer
  • 25 points!!<br> Can postulates always be proven true?
    6·1 answer
  • The mass of an object is 12g and its volume is 6cm3. What is its density? *
    9·1 answer
  • If DH = 4x – 10 and FH = x + 8, find the value of x for which DEFG must be a parallelogram.
    11·2 answers
  • you buy two rolls of wrapping paper. each roll has the same lateral surface area. what is the diameter of roll B?
    10·1 answer
  • Help this is my exit ticket HURRY LOTS OF POINTS
    7·2 answers
  • A dessert recipe calls for
    5·2 answers
  • A cylinder has a diameter of 6 cm and a volume of 36 pi
    12·1 answer
  • HELP PLS i don’t understand it so can someone please help me
    8·1 answer
  • 3 pounds of apples cost $8.37 how much each pound
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!