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
AysviL [449]
3 years ago
11

X^2+4x-1/(x+2)^2=0 solve for x

Mathematics
1 answer:
dalvyx [7]3 years ago
5 0
<span>x^2+4x-1/(x+2)^2=0
x^2 + 4x - 1 = 0
</span>
\frac{x^2+10x-7}{x^2+10x+25} =0\\x^2+10x-7=0\\x= \frac{-b\pm\sqrt{b^2-4ac}}{2a};
where a = 1, b = 4 and c = -1

x=\frac{-4\pm\sqrt{4^2-(4\times1\times(-1)}}{2\times1}\\=\frac{-4\pm\sqrt{16+4}}{2}=\frac{-4\pm\sqrt{20}}{2}\\=\frac{-4\pm\sqrt{4\times5}}{2}=\frac{-4\pm2\sqrt{5}}{2}=-2\pm\sqrt{5}\\=-2+\sqrt{5}&#10; \ or \ -2-\sqrt{5}\\x=0.24 \ or \ x = -4.24
You might be interested in
32 + 4 (2 + 4) X 6 = 8 + 4 =
Svetradugi [14.3K]

Answer:

176=12

Step-by-step explanation:

8 0
2 years ago
Find the volume of the composite solid. Round your answer to the nearest tenth
Vesna [10]

Answer:

V = 1206.3 ft^{3}

Step-by-step explanation:

This shape is made up of a cylinder on the bottom and a cone on the top. We'll find the volumes of these shapes separately and then add them together.

Volume of a cylinder = area (of the base) x height

Substitute in the formula for the area of a circle.

V(cylinder) = \pir^{2} x h

Substitute in the values for the radius (8) and height (4)

V(cylinder) = \pi x 8^{2} x 4

Evaluate using a calculator

V(cylinder) = 804.2477

To the nearest tenth, V(cylinder) = 804.2

Volume of a cone = \frac{\pi r^{2}h }{3}. This is the area of the circular part of the cone (\pi r^{2}), multiplied by the height from the point to the base, all divided by 3.

Substitute in the values for the radius of the circle (8) and the height (6)

V(cone) = \frac{\pi 8^{2} 6 }{3} (On the top it's \pi x 8^{2} x 6)

Evaluate using a calculator

V(cone) = 402.1239

To the nearest tenth, V(cone) = 402.1

Total volume = V(cylinder) + V(cone)

= 804.2 + 402.1

= 1206.3 ft^{3}

7 0
3 years ago
Solve for x using the Quadratic Formula: x2 + 4x + 4 = 0<br> -b + Vb2 - 4ac<br> x=<br> 2a
Irina18 [472]

Answer:

x = -2.

Step-by-step explanation:

In this case, a is 1, b is 4 and c is 4.

-4 plus or minus the square root of 4^2 - 4 * 1 * 4 divided by 2 * 1 = -4 plus or minus the square root of 16 - 16 / 2 = -4 plus or minus the square root of 0 / 2 = -4 / 2 = -2.

x = -2.

Hope this helps!

8 0
3 years ago
20 is what percent of 32 <br> Write as an equation
AlladinOne [14]
20% of 32= 6.4



20% x 32

20 /100 x 32
Reduce the fraction
1 /5× 32
=32/5
=6.4
8 0
3 years ago
Find x, y and ab and how to check if the answer is right ​
iris [78.8K]

Answer:

  x = 2, y = -2, AB = 142

Step-by-step explanation:

The fact that X is the midpoint gives you two relations:

  AX = XB

  AX + XB = AB

Since you have two unknowns, this number of equations is sufficient to find their values. Substituting the given expressions in the above equations, you have ...

  • 8(3x+5) -3(y-7) -22x = 5x +y +23 -4(x-12)
  • 8(3x+5) -3(y-7) -22x + 5x +y +23 -4(x-12) = 2x -5y +128

Simplifying the first of these can make simplifying the second one easier.

  24x +40 -3y +21 -22x = 5x +y +23 -4x +48

  2x -3y +61 = x +y +71 . . . . . . we can use this simplification

  x -4y = 10 . . . . . . . . . . . . . . . . subtract x+y+61

Now, we can simplify the second equation to ...

  2x -3y +61 +x +y +71 = 2x -5y +128

  3x -2y +132 = 2x -5y +128 . . . . . simplify the left side

  x +3y = -4 . . . . . . . . . . . . . . . add -2x+5y-132

Then the two equations we need to solve are ...

  • x -4y = 10
  • x +3y = -4

Subtracting the second from the first, we get

  -7y = 14

  y = -2

Substituting into the first of these simplified equations, we get

  x -4(-2) = 10 . . . . substitute for y

  x +8 = 10 . . . . . . .evaluate

  x = 2 . . . . . . . . . .subtract 8

So, the solution is (x, y) = (2, -2).

Now, the values of AX and XB are ...

  AX = 2x -3y +61 = 2·2 -3(-2) +61 = 71

  XB = x+y+71 = 2 +(-2) +71 = 71 . . . . . . . . matches AX, a good sign

  AB = 2x -5y +128 = 2·2 -5(-2) +128 = 142 . . . . = AX+XB, another good sign

The desired values are x = 2, y = -2, AB = 142.

_____

You check the answer by filling the values into the expressions given in the problem statement and seeing if you get consistent results. Here, we used the simplified expressions, rather than the original expressions, so if we did the simplification wrong, we may have the wrong answer. It is always best to use the original equations. (A machine solver working with the original equations confirms our result, so "confidence is high.")

4 0
3 years ago
Other questions:
  • Simplify 2(x – 4) + 32: Simplify 9x + 4(x + 2) – 5:
    9·1 answer
  • 5 questions and if you answer then you will get points, Brainliest answer, thanks, and 5-star rating thx
    7·2 answers
  • In the past you paid $800$800 per month to rent your apartment. You now pay $900$900 per month for your rent. What is the percen
    12·2 answers
  • You run around the perimeter of a baseball field at a rate of at least 13 feet per second. Which of the following are possible a
    14·1 answer
  • Is 109 divided by 5 equal 21 R2
    12·1 answer
  • Your dinner at a restaurant costs $13.65 after you use a coupon for a 25% discount. You leave a tip for $3.00.
    9·1 answer
  • Find the value of below algebriac expression for x=2,y=-1 and z=2 i. 4x2−3y2+5z24x2−3y2+5z2 ii. 3x3−2x(4yz+5x2)3x3−2x(4yz+5x2) i
    14·1 answer
  • Haley bought a hamburger, two hotdogs, a large Order of fries, and one medium soda. How much change did she get from $20.00?
    10·1 answer
  • How do I verify: tan(x)+cot(x)=(2)/sin(2x)?
    14·1 answer
  • 2,5,8,...<br> Find the 41st term.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!