SOLUTION: the area of a rectangle is given by the equation 2L squared minus 5L equals 3, in which L is the rectangles length. what is the length of the rectangle?

Algebra ->  Rectangles -> SOLUTION: the area of a rectangle is given by the equation 2L squared minus 5L equals 3, in which L is the rectangles length. what is the length of the rectangle?      Log On


   



Question 189126: the area of a rectangle is given by the equation 2L squared minus 5L equals 3, in which L is the rectangles length. what is the length of the rectangle?
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
2L%5E2-5L+=+3 Subtract 3 from both sides.
2L%5E2-5L-3+=+0 Factor the quadratic equation.
%282L%2B1%29%28L-3%29+=+0
2L%2B1+=+0 or L-3+=+0 so...
2L+=+-1 or L+=+3 Discard the negative solution, so...
highlight%28L+=+3%29 is the length of the rectangle.