سلسلة المعادلات

["]$\LARGE {\color{Red} Q10) \log_{4}x+\log_{4}y=-3\Rightarrow xy=\frac{1}{b4}\Rightarrow y=\frac{1}{b4x}}$
$\LARGE {\color{Red} x^{\frac{-1}{2}}+y^{\frac{-1}{2}}=b\Rightarrow x^{\frac{-1}{2}}+8x^{\frac{1}{2}}=b\rightarrow }$
$\LARGE {\color{Red} 8x-bx^{\frac{1}{2}}+1=0\Rightarrow (4x^{\frac{1}{2}}-1)(2x^{\frac{1}{2}}-1)=0\Rightarrow x=\frac{1}{1b} , x=\frac{1}{4}}$
$\LARGE {\color{Red} \Rightarrow y=\frac{1}{4} , y=\frac{1}{1b}}$ [/COLOR]