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Question Number 207984 by Thomaseinstein last updated on 02/Jun/24

Answered by Frix last updated on 02/Jun/24

p, q >0  (1/p^2 )−(1/q^2 )=(4/3) ⇒ q^2 =((3p^2 )/( 3−4p^2 ))  p+q=6 ⇒ q^2 =(p−6)^2   ((3p^2 )/( 3−4p^2 ))=(p−6)^2   p^4 −12p^3 +36p^2 +9p−27=0  p≈.854016106031  ⇒  q≈5.14598389396  ⇒  m≈.729343509360  n≈26.4811502370

p,q>01p21q2=43q2=3p234p2p+q=6q2=(p6)23p234p2=(p6)2p412p3+36p2+9p27=0p.854016106031q5.14598389396m.729343509360n26.4811502370

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