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6yzx^{-\frac{1}{2}}=3z+2y
y qiymati 0 teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini 6yz ga, 2y,3z ning eng kichik karralisiga ko‘paytiring.
6yzx^{-\frac{1}{2}}-2y=3z
Ikkala tarafdan 2y ni ayirish.
\left(6zx^{-\frac{1}{2}}-2\right)y=3z
y'ga ega bo'lgan barcha shartlarni birlashtirish.
\left(\frac{6z}{\sqrt{x}}-2\right)y=3z
Tenglama standart shaklda.
\frac{\left(\frac{6z}{\sqrt{x}}-2\right)y}{\frac{6z}{\sqrt{x}}-2}=\frac{3z}{\frac{6z}{\sqrt{x}}-2}
Ikki tarafini 6zx^{-\frac{1}{2}}-2 ga bo‘ling.
y=\frac{3z}{\frac{6z}{\sqrt{x}}-2}
6zx^{-\frac{1}{2}}-2 ga bo'lish 6zx^{-\frac{1}{2}}-2 ga ko'paytirishni bekor qiladi.
y=\frac{3\sqrt{x}z}{2\left(3z-\sqrt{x}\right)}
3z ni 6zx^{-\frac{1}{2}}-2 ga bo'lish.
y=\frac{3\sqrt{x}z}{2\left(3z-\sqrt{x}\right)}\text{, }y\neq 0
y qiymati 0 teng bo‘lmaydi.