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
Mamont248 [21]
3 years ago
7

What are the beginning steps of solving this?

3D%208" id="TexFormula1" title="2x + \sqrt{x + 1} = 8" alt="2x + \sqrt{x + 1} = 8" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
IceJOKER [234]3 years ago
6 0

Isolate the radical term, then square both sides:

2x+\sqrt{x+1}=8

\sqrt{x+1}=8-2x

Note that \sqrt{x+1} is non-negative and requires that x\ge-1 in order to be defined, while 8-2x when x>4. This means we can only find real solutions in the range -1\le x\le4.

(\sqrt{x+1})^2=(8-2x)^2

x+1=(8-2x)^2

Now just expand the RHS and simplify as much as possible:

x+1=64-32x+4x^2

4x^2-33x+63=0

(x-3)(4x-21)=0

\implies x=3,x=\dfrac{21}4

Now, \dfrac{21}4=5.25, which is larger than 4, so we omit that solution. Then x=3 is the only solution.

You might be interested in
The percent for 140% of 50
irina1246 [14]
140\%\cdot50=\\
1.4\cdot50=\\
70
4 0
3 years ago
Read 2 more answers
Please help with this, thank you!​
dezoksy [38]

Step-by-step explanation:

\sqrt{1.8 \times  \sin(46 ) \div 7.8 {}^{2}  }  - 50.8 \\  \sqrt{1.8}  \times 0.72  \div 60.84 - 50.8 \\   \sqrt{1.29 \div 10.04 }  \\  \sqrt{0.128 }  \\ 0.358

8 0
3 years ago
Square root of 129 is greater than, less than or equal to 95/8?​
Tanzania [10]

√129 is less than \frac{95}{8}.

\large\mathfrak{{\pmb{\underline{\purple{Step-by-step\:explanation}}{\purple{:}}}}}

Let us first solve for √129.

➝\:\sqrt{129}

➝\:11.3578

Now,

➝\: \frac{95}{8}

➝\:11.875

Clearly,

➵\:11.3578 < 11.875

➵\: \sqrt{129}  <  \frac{95}{8}

Hence, √129 is less than \frac{95}{8}.

\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35☂}}}}}

5 0
3 years ago
What is the area of the irregular figure below?
expeople1 [14]

Answer:

360 centimeters squared

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
The 24 students in Ms.Lee class each collected an average of 18 cans for recycling the 21 students in mr galvez class each colle
puteri [66]
This is a case for multiplication of #Students by#Cans and then subtract.

Ms Lee.........
24 students × 18 cans = 432
Mr Galvez...21 students × 25 cans = 525

..525
- 432
= 093

Mr Galvez' s class collected 93 more cans than
6 0
4 years ago
Read 2 more answers
Other questions:
  • A parking garage charges an initial fee of $7.00 for up to 2 hours of parking, and an hourly rate for each additional hour
    8·1 answer
  • What is 258/300 as a decimal and percent
    11·1 answer
  • What is 9/12 simplified? Thanks
    9·2 answers
  • Over the course of one day, a store owner determined that 80% of customers bought a drink and 30% of customers bought a snack. I
    7·1 answer
  • Eight more than twice a number is 24
    10·1 answer
  • a city is building bike racks for people who ride their bikes to work and around town. the city will have 47 bike racks with roo
    7·2 answers
  • The question is in the photo. Please answer with the correct answer.
    7·1 answer
  • If an arrow is shot upward on Mars with a speed of 56 m/s, its height in meters t seconds later is given by y = 56t − 1.86t2.
    11·1 answer
  • Which is greater, 3/4 or 10/12?
    14·2 answers
  • A pair of sneakers is on sale for $60. This is 80% of the original price. What 2
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!