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Thomas A
CAT Preparation Community 4y ago
. If x (x + 3) (x + 5) (x + 8 ) < 250, how many integer values can x take?
5
Kartikay Karnwal 4y ago
1?
Cye Ash 4y ago
3
Anwesh Pradhan 4y ago
11 ?
Arnav Gandhi 4y ago
Hi
We have x(x+3)(x+5)(x+8)<250
We have x(x+8)(x+3)(x+5)<250
(x^2+8x)(x^2+8x+15)<250
Take x^2+8x=t
t(t+15)<250
t^2+15t-250<0
(t+25)(t-10)<0
so t will range from -24 to 9
Now x^2+8x=t
x^2+8x-t=0 ,
Now 8 can be 1+7 , 6+2 ,5+3, 4+4 ,0+8 and -9+1
We get 11 integral values
Vidushi Razdan 4y ago
1,-1,0,,-2,-3,-4,-5,-6,-7,-8,-9. 11 values!!
