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
Sindrei [870]
3 years ago
8

64 POINT QUESTION √(5-2x) - √(2-x) = 1

Mathematics
1 answer:
Ivanshal [37]3 years ago
7 0

Answer:

x = 2 and x = -2

Step-by-step explanation:

The easiest way is to guess. We know that you can't have a square root of a negative number. This constrains x between negative infinity to 2. Testing 2 and -2, we see that it satisfy the equation.

The more systematic approach is shown below

\sqrt{5-2x}-\sqrt{2-x}=1 \\\sqrt{5-2x}-\sqrt{2-x}+\sqrt{2-x}=1+\sqrt{2-x} \\\sqrt{5-2x} = 1+\sqrt{2-x}

5-2x=(1+\sqrt{2-x})^2\\5-2x=1+2\sqrt{2-x}+2-x\\2-x=2\sqrt{2-x}\\1-0.5x=\sqrt{2-x}\\(1-0.5x)^2=2-x\\1-x+0.25x^2=2-x\\0.25x^2-1=0\\0.25x^2 = 1\\x^2 = 4\\x = +/-2

x= -2, 2

You might be interested in
Please help...............................!
arlik [135]
Class F=36.6666666667%
class E=33.3333333333%
class H=41.6666666667%
class G=<span>32%</span>
4 0
3 years ago
40% is what number is 82?
Licemer1 [7]
32.8 because.40•82=32.8
8 0
3 years ago
Read 2 more answers
Find the solution of the given initial value problem in explicit form. y′=(1−5x)y2, y(0)=−12 Enclose numerators and denominators
Nata [24]

Answer:

The solution is y=-\frac{12}{12x-30x^2+1}.

Step-by-step explanation:

A first order differential equation y'=f(x,y) is called a separable equation if the function f(x,y) can be factored into the product of two functions of x and y:

f(x,y)=p(x)h(y)

where p(x) and h(y) are continuous functions.

We have the following differential equation

y'=(1-5x)y^2, \quad y(0)=-12

In the given case p(x)=1-5x and h(y)=y^2.

We divide the equation by h(y) and move dx to the right side:

\frac{1}{y^2}dy\:=(1-5x)dx

Next, integrate both sides:

\int \frac{1}{y^2}dy\:=\int(1-5x)dx\\\\-\frac{1}{y}=x-\frac{5x^2}{2}+C

Now, we solve for y

-\frac{1}{y}=x-\frac{5x^2}{2}+C\\-\frac{1}{y}\cdot \:2y=x\cdot \:2y-\frac{5x^2}{2}\cdot \:2y+C\cdot \:2y\\-2=2yx-5yx^2+2Cy\\y\left(2x-5x^2+2C\right)=-2\\\\y=-\frac{2}{2x-5x^2+2C}

We use the initial condition y(0)=-12 to find the value of C.

-12=-\frac{2}{2\left(0\right)-5\left(0\right)^2+2C}\\-12=-\frac{1}{c}\\c=\frac{1}{12}

Therefore,

y=-\frac{2}{2x-5x^2+2(\frac{1}{12})}\\y=-\frac{12}{12x-30x^2+1}

4 0
3 years ago
Please help i don't get it
Ivan
The perimeter is just all the lines around the outside of the shape so basically take all the numbers and add them together to get the answer
3 0
3 years ago
Read 2 more answers
A surgery asks 25 people if they prefer brand A of brand B laundry detergent. The data show that 12 people prefer brand A. Write
SVETLANKA909090 [29]

Answer:

13 to 25

13:25

\frac{13}{25}

Step-by-step explanation:

All of these show the ratio 13/25

Hope this helps!

8 0
2 years ago
Other questions:
  • A catering company is setting up for a wedding they expect 150 people to attend they can provide tables that seat 6 people and l
    15·1 answer
  • Tom is thinking of two numbers,a and b,where a is a positive and b is negative. write to inequalities that Tim can use to compar
    8·1 answer
  • 1. y = 2x + 5<br> What is the linear transformation
    12·1 answer
  • Volume and surface area plz!!!
    9·1 answer
  • A line has a slope of and a run = 50. What is the rise?
    14·1 answer
  • Excel - How to graph different APRs using one formula for an excel beginner? Image Attached
    14·1 answer
  • A student can solve 20 problems in 30 minutes. How long would it take him to solve 50 problems? Answer fast please.
    6·2 answers
  • F(x) = 2x² + 8x Find f(-1)​
    13·2 answers
  • Tha co-efficient of correlation is independent of​
    14·2 answers
  • Ryan bought an iPhone and some cases for
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!