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
tankabanditka [31]
3 years ago
14

HELP MEE! 100 POINTS AND BRAINLY! GIVE ME THE STEPS, AND A GOOD ANSWER OR I WILL DELETE YOUR ANSWER AND GET MY POINTS BACK!

Mathematics
2 answers:
salantis [7]3 years ago
8 0

Hi there! Hopefully this helps!

Answer: 11.47(to 2 decimal places).

Isolate one of the square roots: √(2x−5) = 1 + √(x−1)

Square both sides: 2x−5 = (1 + √(x−1))^2

We have removed one square root.

Expand right hand side: 2x−5 = 1 + 2√(x−1) + (x−1)

Simplify: 2x−5 = 2√(x−1) + x

Subtract x from both sides:  x−5 = 2√(x−1)

Now do the "square root" thing again:

Isolate the square root:  √(x−1) = (x−5)/2

Square both sides:  x−1 = ((x−5)/2)^2

<em>We have now successfully removed both square roots.</em>

<em>Let's continue with the solution.</em>

<em></em>

Expand right hand side:  x−1 = (x^2 − 10x + 25)/4

<em></em>

<em>Since it is a Quadratic Equation! let's put it in standard form.</em>

<em></em>

Multiply by 4 to remove division:  4x−4 = x^2 − 10x + 25

Bring all to left:  4x − 4 − x^2 + 10x − 25 = 0

Combine like terms:  −x^2 + 14x − 29 = 0

Swap all signs:  x^2 − 14x + 29 = 0

<em>Using the Quadratic Formula (a=1, b=−14, c=29) gives the solutions:</em>

<u><em>2.53</em></u><em> and </em><u><em>11.47 </em></u><em>(to 2 decimal places)</em>

<em></em>

<em>2.53: √(2×2.53−5) − √(2.53−1) ≈ −1 Oops! Should be plus 1. So it is not the solution.</em>

<em></em>

<em>11.47: √(2×11.47−5) − √(11.47−1) ≈ 1 Yes that one works. </em>

<em></em>

<em></em>

Alexeev081 [22]3 years ago
3 0

Answer:

Solve the equation for  

x   by finding   a ,  b , and  c  of the quadratic then applying the quadratic formula.

Exact Form:

x= 7 + 2 √ 5

Decimal Form:

x = 11.47213595 …

Step-by-step explanation:

You might be interested in
Who ever answers this first gets brainly
Ronch [10]

Answer:

d. 188.4 in

Step-by-step explanation:

i might be wrong so sorry in advance.

7 0
3 years ago
Which expressions are equivalent to 4(x+1) + 7(x+3)? Select two answers.
Natalija [7]

Answer:

9(x+3) + 2(x+3) or 10(x+2) +(x+5)

Step-by-step explanation:

First you want to distribute the equation.

4(x+1) + 7(x+3) multiplied out is

4x + 4 + 7x + 21

Now we add like terms so it comes out to

11x + 25

Two expressions that can come out to equal 11x + 25 is. 9(x+3) + 2(x+3) or 10(x+2) +(x+5)

7 0
3 years ago
The admission fee at the Smithsonian Air &amp; Space
mel-nik [20]
A. 1.50c+ 4.00a = 5050 (Money earned)
     c + a =2200 (Guests in the museum) 

6 0
3 years ago
Breanna thought of a number, added 6 to it, multiplied it by 6, subtracted 6 from her answer, and then divided it by 6. She got
ss7ja [257]

Answer:5

Step-by-step explanation:

If you look at the question in reverse you can backtrack your way through. Take 10 and instead of dividing, multiply it by 10, which is 60, add 6 instead of subtracting, which is 66, divide by 6 instead of multiplying, which is 11 and finally subtract 6 instead of adding, which is 5. Use five and try the question over to make sure you calculated correct.

8 0
3 years ago
A line passes through the point (-8, 6) and has a slope of 3/2
Vladimir79 [104]

Answer:

y-6=3/2(x+8)

Step-by-step explanation:

so the point slope form is  y-y₁=m(x-x₁)

so enter the points (-8, 6)

y-6= 3/2(x-(-8))

y-6=3/2(x+8)

3 0
3 years ago
Read 2 more answers
Other questions:
  • Please solve this math question
    6·2 answers
  • What is the area of the rectangle?
    15·2 answers
  • What is the side length of an equilateral triangle that has a perimeter of 24.6 cm ?
    14·1 answer
  • Which set has a wider spread, and what is the range?
    9·1 answer
  • please help!!! 30 pts and brainiest answer Let f(x)=8x . Which function represents a transformation of f(x) by a vertical stretc
    15·2 answers
  • How do you find the area of a triangular prism
    15·2 answers
  • If n = 6, what is the value of 9n−4?
    15·2 answers
  • Letx be the profit of a company and let y be the amount the company owner mais, both in thousands of dollars. The graph shows th
    7·1 answer
  • Aleks help find y and z
    5·1 answer
  • Expand.<br> If necessary, combine like terms.<br> (3 + 4x) (3 - 4x)
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!