If , are the irrational roots of the equation 3p^2x^3+px^2+ qx+3=0 when p=1 and q=-7 then | - |=

Question

Accepted Answer

Correct answer: C. (c) Here we are given that 3p^2x^3+px^2+ qx+3=0 when p=1 and q=-7 Now (x-1 )(3x^2+4x-3)=0 ⇒x=1 ,x= 2 133 ⇒ = 2 133 , = 2- 133 ⇒ | - |= ( 2+ 13-2+ 133 )= 2 133

$If α, β are the irrational roots of the equation 3 p^{2} x^{3} + p x^{2} + qx + 3 = 0 when p = 1 and q = - 7 then | α - β | =$

Solution

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