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
8090 [49]
3 years ago
12

What is the solution of √x-5 = x-11

Mathematics
1 answer:
PIT_PIT [208]3 years ago
4 0
Hey!


To solve x in this equation we must first add five to both sides to get \sqrt{x} on its own.

<em>Original Equation :</em>
\sqrt{x} - 5 = x - 11

<em>New Equation {Added 5 to Both Sides} :</em>
\sqrt{x} =x-6

Now we must square both sides of the equation.

<em>Old Equation :</em>
\sqrt{x} =x-6

<em>New Equation {Changed by Squaring Both Sides} :</em>
x= x^{2} -12x+36

And now we must solve the new equation.

Step 1 - Switch sides
x^{2} -12x+36=x

Step 2 - Subtract x from both sides
x^{2} -12x+36-x=x-x

Step 3 - Simplify
x^{2} -13x+36=0

Now we need to solve the rest of the equation using the quadratic formula.

\frac{-(-13)+ \sqrt{(-13) ^{2}-4*1*36 } }{2*1}

{13+ \sqrt{(-13)^{2}-4*1*36 }=13+ \sqrt{25}

\frac{13+ \sqrt{25}}{2}

\sqrt{25}=5

\frac{13+5}{2}

\frac{18}{2}

9

\frac{-(-13)- \sqrt{(-13) ^{2} -4*1*36} }{2*1}

4

<em>So, this means that in the equation \sqrt{x} -5=x-11,</em>  x = 9  <em>and  </em>x = 4.

Hope this helps!


- Lindsey Frazier ♥
You might be interested in
In a recent study, your town's chamber of commerce found that 73% of town residents believed that local businesses overcharged f
Dominik [7]

The Confidence interval for 95% who believes that the local businesses overcharge = (0.7026, 0.7574)

<h3>What is meant by confidence interval?</h3>

The range of values we see in our sample and hope to identify the value that most closely represents the population are referred to as a confidence interval.

<h3>According to the given information:</h3>

Sample size n = 1000

73% of town residents believed that local businesses overcharged for their products over 1000 resident.

= (1000/100) x 73

= 730

Sample proportion p = 730/1000

                                    = .73

q = 1-p = 0.23

Std error of proportion = √(pq/n)

                                      = √((.73*0.27)/1000)

                                      = 0.0140

95% Z critical value = 1.96

Margin of error = 1.96*0.0140

                          = 0.0274

Confidence interval = sample proportion ±margin of error

(0.7026, 0.7574)

To know more About Confidence interval visit:

brainly.com/question/14018374

#SPJ4

4 0
2 years ago
Five brothers picked 5 pounds of apples. Two of the
Rashid [163]

Answer:

Step-by-step explanation:

Two brothers get three pounds to share is the answee.

4 0
3 years ago
Read 2 more answers
More free points cause I’m the goat ya dig
denis23 [38]

Answer:

YO! THANKS!

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Find the acute angle between the two given lines<br><br> y=-2x and y=x
Marina CMI [18]

Answer:

θ ≈ 71.6°

Step-by-step explanation:

The angle between two lines with slopes m₁ and m₂ is:

tan θ = | (m₂ − m₁) / (1 + m₁m₂) |

Here, m₁ = -2 and m₂ = 1.

tan θ = | (1 − (-2)) / (1 + (-2)(1)) |

tan θ = | 3 / -1 |

tan θ = 3

θ ≈ 71.6°

3 0
3 years ago
Solve -5sqrtx = -15.<br><br> A. x = -9<br> B. x = 7<br> C. x = 9<br> D. x = -7
labwork [276]

Check this attachment

3 0
3 years ago
Read 2 more answers
Other questions:
  • If the graph of y = |x| is translated so that the point (1, 1) is moved to (4, 1), what is the equation of the new graph?
    15·1 answer
  • Is this relation a function. please help me​
    8·1 answer
  • Find the value of x. Round the answer to the nearest tenth, if needed.
    5·1 answer
  • How to convert 5/10 into a fraction into a decimal
    12·2 answers
  • Which is the domain of the function f(x) =
    6·2 answers
  • Helppp plzzzzzzz?????
    14·2 answers
  • ANSWER ASAP <br> PLEASE AND THANK YOU
    9·1 answer
  • A farm is rectangular with an area of 1/2 square
    12·1 answer
  • Are 18:3 and 6:1 equivalent radios?
    7·2 answers
  • 21.18 - 17.92 rounded to the nearest whole number
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!