Intended 63664

Farmers had to sow 200 hectares of fields. They reduced the planned sowing time by two days while planting 5 hectares more each day than intended. How many days did the sowing last?

Correct answer:

x =  8

Step-by-step explanation:

200 ha = x y = (x+2) (y5)  200 = x y 200 = x y + 2y 5x10   2y 5x10  0  2 200/x 5x10 = 0  4005 x210x=0  4005 x210x=0 5x210x+400=0 5x2+10x400=0 5 ...  prime number 10=25 400=2452 GCD(5,10,400)=5  x2+2x80=0  a=1;b=2;c=80 D=b24ac=2241(80)=324 D>0  x1,2=2ab±D=22±324 x1,2=22±18 x1,2=1±9 x1=8 x2=10  x=x1=8 y=200/x=200/8=25   Verifying Solution:  s1=x y=8 25=200 ha s2=(x+2) (y5)=(8+2) (255)=200 ha

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