Let A= x x^3+x^2-p x+q=0, p, q, R and B= x x^2-q x+2=0, q R be the sets. If n(A B)=2 and x₀ (A-B) , then find the value of |p-q+x₀ | . [Note: n(P Q) denotes number of common elements in set P and set Q and a (P-Q) denotes elements ' a ' lie

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Let A= x x^3+x^2-p x+q=0, p, q, R and B= x x^2-q x+2=0, q R be the sets. If n(A B)=2 and x₀ (A-B) , then find the value of |p-q+x₀ | . [Note: n(P Q) denotes number of common elements in set P and set Q and a (P-Q) denotes elements ' a ' lies in set P not in set Q .]

Quantrex Academy · Accepted Answer

Correct answer: 3

aligned & & (x-x₀ ) (x^2-q x+2 ) & =x^3+x^2-p x+q & & -x₀-q & =1,2+q x₀=-p,-2 x₀=q & & x₀ & =1, q=-2, p=0 & & |p-q+x₀ | & =3 aligned

Let A= x x^3+x^2-p x+q=0, p, q, R and B= x x^2-q x+2=0, q R be the sets. If n(A B)=2 and x₀ (A-B) , then find the value of |p-q+x₀ | . [Note: n(P Q) denotes number of common elements in set P and set Q and a (P-Q) denotes elements ' a ' lies in set P not in set Q .]

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