If the cubic equation a3 - 4a2 + 5a - 2 = 0 has the root x, y, z then find the value of x + y + z.
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. 4.
For a cubic equation of the form ax3 + bx2 + cx + d = 0, the sum of the roots = -(b/a)
Here, the given equation = a3 - 4a2 + 5a - 2 = 0
Coefficient of a3 = 1
Coefficient of a2 = -4
Sum of roots x + y + z