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Question Number 197248 by hardmath last updated on 11/Sep/23

$$\mathrm{a},\mathrm{b},\mathrm{c}\in \mathbb{R}$$$$\frac{\mathrm{a}+2\mathrm{b}-3\mathrm{ac}}{3\mathrm{ac}}=\frac{\mathrm{a}+4\mathrm{b}-\mathrm{bc}}{\mathrm{b}}$$$$\mathrm{Find}:\frac{2\mathrm{b}}{\mathrm{a}}-\frac{3\mathrm{a}}{\mathrm{b}}$$

Commented by Frix last updated on 11/Sep/23

$$-\frac{(c+1)(3c^2-15c+1)}{2c}\pm \frac{(c-1)\sqrt{9c^4-90c^3+231c^2-6c+1}}{2c}$$

Commented by hardmath last updated on 11/Sep/23

$$\mathrm{Ser},\mathrm{ansver}:11$$

Commented by Frix last updated on 12/Sep/23

$$\mathrm{You}\mathrm{must}\mathrm{be}\mathrm{kidding}.\mathrm{The}\mathrm{given}\mathrm{equation}$$$$\mathrm{has}3\mathrm{variables}.\mathrm{We}\mathrm{can}\mathrm{solve}\mathrm{for}\mathrm{one}\mathrm{of}\mathrm{these}.$$$${\mathrm{It}}^{\prime }\mathrm{s}\mathrm{not}\mathrm{possible}\mathrm{to}\mathrm{get}\mathrm{a}\mathrm{unique}\mathrm{solution}.$$

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