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Question

If 2√3 is the root of quadratic equation px2+qx+r=0 for (p,q,r) belongs to R , then find value of (p+q+r)

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Solution

We know in a quadratic with rational coefficients irrational roots occur in conjugate pairs.

So, if one root is 2*root3 then other root is conjugate of 2*root3 i.e. -2*root3

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