x² – 31x + 234 = 0y² – 34y + 285 = 0a)X > Yb)...
X^2-31X+234=0 ;
By factor method,
The roots of the equation are 18,13.i.e.,X = 18 or 13 ;
Y^2-34Y+285=0 ;
By factor method,
The roots of the equation are 19,15.i.e.,Y = 19 or 15 ;
Now compare both the roots,
X = 18 < 19="" ;="" x="13" />< 19="" />
X = 18 > 15 ; X = 13 < 15="" />
While comparing X & Y , X or Y should be either greater or lesser than X & Y .
But here in this question , Both X > Y & X < y="" is="" present="" ,="" so="" x="y" or="" relationship="" cannot="" be="" established.="" y="" is="" present="" ,="" so="" x="Y" or="" relationship="" cannot="" be="" />
x² – 31x + 234 = 0y² – 34y + 285 = 0a)X > Yb)...
x² – 31x + 234 = 0
x = 13, 18
y² – 34y + 285 = 0
y = 15, 19