AP EAMCET201824 Apr 2018Morning ShiftMathematicsQuadratic EquationActual
The sum of the non-real roots of (p^2+p-3 ) (p^2+p-2 )-12=0 is
Options
- A1
- B-1
- C6
- D-6
Correct answer
B. -1
Step-by-step solution
Given equation is (P^2+P-3 ) (P^2+P-2 )-12=0 Let y=P^2+P-2 array lr & y(y-1)-12=0 & y^2-y-12=0 & (y-4)(y+3)=0 & y-4=0 as y+3=0 & P^2+P-6=0 as P^2+P+1=0 array For imaginary (non-real roots) P^2+P+1=0 Sum of non-real roots =-1 .