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AP EAMCET · Maths · Quadratic Equation

If α, β, γ are the roots of x3-2x2+3x-4=0, then find αβ(α+β)

  1. A -2
  2. B -6
  3. C 6
  4. D 2
Verified Solution

Answer & Solution

Correct Answer

(B) -6

Step-by-step Solution

Detailed explanation

x3-2x2+3x-4=0 αβγ α+β+γ=2 αβγ=4, ∑αβ=3 αβ(α+β)+βγ(β+γ)+γα(γ+α) αβ(2-γ)+βγ(2-α)+γα(2-β)…
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