AP EAMCET20228 Jul 2022Morning ShiftMathematicsComplex NumberActual
The product of real roots of the equation 4 x^4-24 x^3+57 x ^2+18 x -45=0 if one of the root is 3+i 6 is
Options
- A-5 / 16
- B5 / 16
- C3 / 4
- D-3 / 4
Correct answer
D. -3 / 4
Step-by-step solution
Given that 3+i 6 is one roots therefore 3-i 6 is also a root .Let and are other two real roots aligned & product of roots = -45 4 & (3+ i 6 )(3- i 6 )= -45 4 & (9+6)= -45 4 & = -3 4 aligned