A rectangular shaped garden ss an area o 80 square meters. The length is two meters more than its width

a. How will you represent the width and the lenght
b. What is the equation that will represent the problem
c. What is the discriminant of the equation formed in b
d. What kind of roots the equation has
e. Give the dimensions of the garden

Please answer immediately! I need this tomorrow thank you very very very much and please answer with complete solution

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Answers

  • Brainly User
2016-07-21T11:22:52+08:00
A) Width: x
    Length:  x + 2

b)  (x)(x+2) = 80  ⇒   x² + 2x - 80 = 0

c)  a=1;   b=2;   c=-80
     Discriminant = b² - 4ac
                         = (2)² - 4(1) (-80)
                         = 4 + 320
                         = 324  ⇒  Discriminant

d)  Since the discriminant 324 is greater than 0 and a perfect square, there are two unequal rational roots.

e)  x² - 2x - 80 = 0
     Solve by factoring:
     (x + 10) (x - 8) = 0
      
     x + 10 = 0                      x - 8 = 0
     x = -10                           x = 8
 
     Choose the positive root, x = 8:
     
     Width: x = 8 meters
     Length" x+2 ⇒ 8 + 2 = 10 meters
 
     The dimensions are 8 meters wide and 10 meters long.


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