TS EAMCET · Maths · Quadratic Equation
The roots of the cubic equation are diminished by and a cubic equation with these diminished roots is formed. If the transformed equation does not contain term, then the roots of the transformed equation are
- A
- B
- C
- D
Answer & Solution
Correct Answer
(C)
Step-by-step Solution
Detailed explanation
3x3+4x2-5x-2=0 .....i Let roots of equation i are α,β,γ Now, t=α-h, as roots are diminished by h. ⇒α=t+h But α is a root of i ⇒3t+h3+4t+h2-5t+h-2=0 Replacing t by x ⇒3x+h3+4x+h2-5x+h-2=0 Coefficient of x2=0 ⇒33h+4=0…
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