A solution to an applied problem of quadratic equation of one variable There are 100 fruit trees with an average of 1000 fruits per tree. If there are more than one tree, each tree will produce two less fruits. How many trees should be planted in order to increase the yield by 15.2%

A solution to an applied problem of quadratic equation of one variable There are 100 fruit trees with an average of 1000 fruits per tree. If there are more than one tree, each tree will produce two less fruits. How many trees should be planted in order to increase the yield by 15.2%


If x trees are set, then
(100+x)*(1000-2x)=100*1000*(1+15.2%)
-2x^2+800x-15200=0
x^2-400x+7600=0
(x-20)(x-380)=0
x1=20 x2=380
Taking x = 20 and x = 380 does not conform to the meaning of the question