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Question Number 183935 by SulaymonNorboyev last updated on 31/Dec/22
(√(x^2 +2))+(√(x^2 −4))=A  (√(x^2 +2))−(√(x^2 −4))=?
x2+2+x24=Ax2+2x24=?
Answered by Rasheed.Sindhi last updated on 31/Dec/22
(√(x^2 +2))+(√(x^2 −4))=A    (√(x^2 +2))−(√(x^2 −4))=?  ((√(x^2 +2))+(√(x^2 −4)) )((√(x^2 +2)) −(√(x^2 −4)) )                                     =A((√(x^2 +2)) −(√(x^2 −4)) )  ((√(x^2 +2)) −(√(x^2 −4)) )=(1/A){(x^2 +2)−(x^2 −4)}  (√(x^2 +2)) −(√(x^2 −4)) =(6/A)
x2+2+x24=Ax2+2x24=?(x2+2+x24)(x2+2x24)=A(x2+2x24)(x2+2x24)=1A{(x2+2)(x24)}x2+2x24=6A
Commented by SulaymonNorboyev last updated on 31/Dec/22
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Answered by Rasheed.Sindhi last updated on 31/Dec/22
(√(x^2 +2))+(√(x^2 −4))=A  (√(x^2 +2))−(√(x^2 −4))=?  a=(√(x^2 +2)) , b=(√(x^2 −4))   a+b=A.........(i)  a^2 −b^2 =(x^2 +2)−(x^2 −4)=6  a−b=((a^2 −b^2 )/(a+b))=(6/A)  (√(x^2 +2)) −(√(x^2 −4))=(6/A)
x2+2+x24=Ax2+2x24=?a=x2+2,b=x24a+b=A(i)a2b2=(x2+2)(x24)=6ab=a2b2a+b=6Ax2+2x24=6A
Answered by manolex last updated on 31/Dec/22
m+n=A      find   m−n  (m+n)(m−n)=(m−n)A  x^2 +2−x^2 +4=(m−n)A  (6/A)=(√(x^2 +2))− (√(x^2 −4))      is answer
m+n=Afindmn(m+n)(mn)=(mn)Ax2+2x2+4=(mn)A6A=x2+2x24isanswer

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