Kohlrabies

The price of one kohlrabi increased by € 0.40. The number of kohlrabies that a customer can buy for € 4 has thus decreased by 5. Find out the new price of one kohlrabi in euros.

Correct result:

c =  0.8 Eur

Solution:

c=0.4+a 4/a=4/c+5 4/(c0.4)=4/c+5  4c=4(c0.4)+5c(c0.4)  4 c=4 (c0.4)+5 c (c0.4) 5c2+2c+1.6=0 5c22c1.6=0  p=5;q=2;r=1.6 D=q24pr=2245(1.6)=36 D>0  c1,2=q±D2p=2±3610 c1,2=2±610 c1,2=0.2±0.6 c1=0.8 c2=0.4   Factored form of the equation:  5(c0.8)(c+0.4)=0  c=c1=0.8=45=45 Eur=0.8 Eur

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