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
Mademuasel [1]
3 years ago
8

Solve this equation using the radical equation method

Mathematics
1 answer:
Yuki888 [10]3 years ago
6 0
The domain:
3x+6\geq0\ \ |-6\\3x\geq-6\ \ \ |:3\\x\geq-2\\\\D:x\in\left< -2;\ \infty\right)

2x=\sqrt{3x+6}-1\ \ \ |+1\\\\2x+1=\sqrt{3x+6}\ \ \ \ |^2\\\\(2x+1)^2=\left(\sqrt{3x+6}\right)^2\ \ \ |use:\ (a+b)^2=a^2+2ab+b^2\\\\(2x)^2+2\cdot2x\cdot1+1^2=3x+6\\\\4x^2+4x+1=3x+6\ \ \ \ |-3x-6\\\\4x^2+x-5=0\\\\4x^2-4x+5x-5=0\\\\4x(x-1)+5(x-1)=0\\\\(x-1)(4x+5)=0\iff x-1=0\ \vee\ 4x+5=0\\\\x=1\ \vee\ 4x=-5\\\\x=1\in D\ \vee\ x=-1.25\in D

Answer:\ \boxed{x=-1.25\ \vee\ x=-1}
You might be interested in
Tom was driving 20.3 meters per second in a 45 mile per hour zone. Was Tom speeding? Explain using a unit conversion as well as
My name is Ann [436]

Answer:

Tom was speeding.

Step-by-step explanation:

The driving speed of Tom = 20.3 meters per second.

Speed allowed in the zone = 45 miles per hour zone.

Since the unit of speed allowed is given in miles per hour but the speed of tom is given in meters per second. So, first, we have to convert the meter per second into mile per hour then we can compare and find that Tom is speeding or not.  

1 mile = 1609.34 meters

1 hour = 3600 second

Now convert 20.3 into mile per hour.

20.3 meters per second. = (20.3 / 1609.34)*3600 = 45.40981 mile per hour.

Since Tom’s speed is more than the allowed speed so he is speeding.

7 0
3 years ago
Find the product. Tell which strategy you need. 9 x 199
kherson [118]
All you need to do is multiply it so it will be 1,791
4 0
4 years ago
Read 2 more answers
120 passengers in 4 buses = passengers per bus
Kamila [148]

Answer:

30

Step-by-step explanation:

120/4

7 0
2 years ago
Read 2 more answers
Which of the following is an arithmetic sequence with common difference 2?
Alekssandra [29.7K]

Answer:

The answer is B

Step-by-step explanation:

Its just B

3 0
3 years ago
8x-6 greater than 12+2x ?????????????
Alja [10]

Answer:

8x-6>12+2x          

-8           -8

-6>12-6x

-12   -12         -12 both sied

18>-6x

18/-6>x

3>x

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • The expression for the amount of money earned on a savings account compounded quarterly is given by the expression x(1.1)^4t, wh
    9·1 answer
  • What equation do you get when you solve ............. ky-bf=fy/m for y?
    5·1 answer
  • Need help with this!!
    10·1 answer
  • Samantha has three times as many basketball cards as Mark Mark has 12 caught baseball cards right in equation that shows how man
    15·2 answers
  • there are 20 children in the cast of a class play, and 8 of the children are boys. of the boys, 4 have speaking part in the play
    5·1 answer
  • (1,-3) and (-2,4) what’s the slope
    8·1 answer
  • Dear LGBTQ+,
    11·2 answers
  • Find the distance between the points given.<br><br>(-3, 2) and (9, -3)​
    14·1 answer
  • Rhombus with diagonal lengths 9 ft and 4 ft. ( what's the area ? )
    14·1 answer
  • Is this correct pls help
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!