How have I dropped a factor 2 on the square root of 19?

In summary, the conversation discusses a problem involving finding the length of segment DC in a given geometric figure. Using algebraic equations and the complete the square method, the length is determined to be $3\pm\sqrt {19}$. The person also mentions a possible error in their solution.
  • #1
mathlearn
331
0
The main problem is http://mathhelpboards.com/pre-algebra-algebra-2/find-length-dc-19355.html#post88492

In this question

$15 = \dfrac{\left((x+3)+(2x-3)\right)h}{2}=\frac12 ((x+3)+(2x-3))\times((2x-3) -(x+3))=\frac12((2x-3)^2-(x+3)^2)=\frac12(3 x^2-18 x)$

So we get $30=3x^2-18x$

Now using the complete the square method

$x^2-6x=10$
$x^2-6x+9=19$
$x=3\pm\sqrt {19}$

This is what I get , I know that i Have missed a factor of two on the square root of 19, How and why was that dropped?

:)
 
Mathematics news on Phys.org
  • #2
mathlearn said:
I know that i Have missed a factor of two on the square root of 19
You have not.
 

FAQ: How have I dropped a factor 2 on the square root of 19?

What is the significance of dropping a factor 2 on the square root of 19?

When dropping a factor 2 on the square root of 19, it means that the number 2 is being divided from the square root of 19. This results in a smaller value for the square root of 19.

How is dropping a factor 2 on the square root of 19 calculated?

Dropping a factor 2 on the square root of 19 is calculated by dividing the square root of 19 by 2. This results in a value that is half of the original square root of 19.

What is the mathematical notation for dropping a factor 2 on the square root of 19?

The mathematical notation for dropping a factor 2 on the square root of 19 is √19/2.

What effect does dropping a factor 2 have on the square root of 19?

Dropping a factor 2 on the square root of 19 decreases the value of the square root of 19 by half. This also means that the number 2 is no longer a perfect square of the square root of 19.

Why would one want to drop a factor 2 on the square root of 19?

One may want to drop a factor 2 on the square root of 19 to simplify a complex mathematical expression or to find a more manageable value for the square root of 19 in a calculation.

Similar threads

Replies
19
Views
2K
Replies
8
Views
982
Replies
7
Views
2K
Replies
4
Views
2K
Replies
3
Views
950
Replies
11
Views
2K
Replies
1
Views
1K
Back
Top