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let the number of students=x
so 540/x
if 30 were more
so 540/x+30
so
540/x - 540/x+30=3
1620/x2 + 30x=3
1620= 3x2+90x
540=x2+30x
x2+30x-540=0
x2+90x-60x-540=0
x(x+90)-60(x+90)
so x=60
so the number of students=60
so 540/x
if 30 were more
so 540/x+30
so
540/x - 540/x+30=3
1620/x2 + 30x=3
1620= 3x2+90x
540=x2+30x
x2+30x-540=0
x2+90x-60x-540=0
x(x+90)-60(x+90)
so x=60
so the number of students=60
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