length of a rectangle is 1 unit less than two times its breadth. If its area is 120 square unit, find its length and breadth.
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Step-by-step explanation:
breadth=x
length=2x-1
x(2x-1)=120
2x^2-x-120=0
2x^2-16x+15x-120=0
2x(x-8)+15(x-8)=0
(2x+15)(x-8)=0
x=8,-15/2
length cannot be negative
So,x=8=breadth
length=2x-1=2*8-1=16-1=15
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