The solution of equationp+q-xr+q+r-xp+r+p-xq+4xp+q+r=0 is

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x=p+q+r

x=p-q+r

x=p+qq+r

x=pq+r

answer is A.

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Detailed Solution

We have p+q-xr+q+r-xp+r+p-xq=-4xp+q+rp+q+r-xr+p+q+r-xp+p+q+r-xq=4-4xp+q+r⇒(p+q+r-x)(1p+1q+1r)=4(p+q+r-xp+q+r) ⇒(p+q+r-x)[1p+1q+1r-4p+q+r]=0 ⇒x=p+q+r.

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