593 views
0 votes
0 votes
In a particular number system x^3 +bx^2 +cx -190=0 has roots x=5,8 and 9. The base of the number system is _______

1 Answer

0 votes
0 votes
product of roots= - Constant term/ Coefficient of x^3

(5)b *(8)b *(9)b=-(-190)/1

b^2+9b=360

b^2+24b-15b-360=0

b(b+24)-15(b+24)=0

(b-15)(b+24)=0

b=15 or -24 so Answer is 15

No related questions found