SOLUTION: Please help solv. A digital photgraph is 30 pixel longer than it is wide and has a total area of 4000 pixels. Find the dimensions of this photograph.

Question 555266: Please help solv. A digital photgraph is 30 pixel longer than it is wide and has a total area of 4000 pixels. Find the dimensions of this photograph.
Found 2 solutions by jim_thompson5910, nerdybill:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
x(x+30)=4000

x^2+30x=4000

x^2+30x-4000=0

Now use the quadratic formula to solve:

x = (-b+-sqrt(b^2-4ac))/(2a)

x = (-(30)+-sqrt((30)^2-4(1)(-4000)))/(2(1))

x = (-30+-sqrt(900-(-16000)))/(2)

x = (-30+-sqrt(16900))/2

x = (-30+sqrt(16900))/2 or x = (-30-sqrt(16900))/2

x = (-30+130)/2 or x = (-30-130)/2

x = 100/2 or x = -160/2

x = 50 or x = -80

Ignore the negative solution. So the dimensions are 50 by 80 pixels.

If you need more help, email me at jim_thompson5910@hotmail.com

Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you

Jim

Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
Please help solv. A digital photgraph is 30 pixel longer than it is wide and has a total area of 4000 pixels. Find the dimensions of this photograph.
Let x = width (in pixels)
then
x+30 = length
.
x(x+30) = 4000
x^2+30x = 4000
x^2+30x-4000 = 0
(x+80)(x-50) = 0
x = {-80, 50}
throw out the negative solution leaving:
x = 50 pixels (width)
.
Length:
x+30 = 50+30 = 80 pixels
.
Dimensions:
50 by 80 pixels
RELATED QUESTIONS
a digital photograph is 30 pixel longer than it is wide and has a total area of 4000... (answered by TutorDelphia)
I am completely clueless to even where I begin. Please help! Solve: George Lucas... (answered by solver91311)
A gray-scale digital camera with 1,000,000 pixels takes a picture (the picture is made of (answered by shenise96)
A room in a house is 8 feet longer than it is wide and has a an area of 180ft^2. Find the (answered by ewatrrr)
A tinsmith has two pieces of sheet metal with the same area. One is a square and the... (answered by Paul)
How do I find the dimensions the floor of a rectangular shed is 7feet longer than it is... (answered by Alan3354)
the length of a rectangle garden is 5 m greater than the width. the area is 66m^2. find... (answered by drj)
the length of a rectanglar garden is 5m greater than the width. the area is 66^2. find... (answered by checkley77)
A rectangle is 4cm longer than it is wide. If it is x cm wide and has an area of 77cm... (answered by satyareddy)