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Solve: $ b = 12/a $, substitute: $ a^2 - (144/a^2) = -64 $. Multiply by $ a^2 $: $ a^4 + 64a^2 - 144 = 0 $. Let $ u = a^2 $: $ u^2 + 64u - 144 = 0 $.$ u = rac{-64 \pm \sqrt{4096 + 576}}{2} = rac{-64 \pm \sqrt{4672}}{2} $. Not real? Wait, $ \sqrt{4672} = \sqrt{16 \cdot 292} = 4\sqrt{292} = 4\sqrt{4 \cdot 73} = 8\sqrt{73} $. So $ u = rac{-64 \pm 8\sqrt{73}}{2} = -32 \pm 4\sqrt{73} $. Take positive root: $ a^2 = -32 + 4\sqrt{73} $, messy. Instead, accept that $ |z|^2 + |w|^2 = |z + w|^2 + |z - w|^2 - 2|z \overline{w}| $, but no. Final correct approach: $ |z|^2 + |w|^2 = (z + w)(\overline{z} + \overline{w}) - 2 ext{Re}(z \overline{w}) = |z + Michael Rooker’s Hidden Movie Secrets You’ll Never Believe Revealed!Michael Rooker Films & TV Shows: The Shocking Truth Behind His Beloved Roles!"From Classic TV to Forgotten Movies—Michael Rooker’s Untold Career Highlights!'Shocking Michael Rooker Movies & TV Shows You Must Watch Before You Die!What You’ve Never Heard About Michael Rooker’s Stars & Thrilling Stories!Michael K. Williams’ Untold Stories: Shocking Scenes You Won’t Believe From His Iconic Movies!The Dark Secrets Behind Michael K. Williams’ Movies—Thrilling Reveals Everyone Needs to See!From Moments That Changed Everything: Michael K. Williams’ Movies Revealed You’ve Been Missing!