what is the value of x if {(3/4x) + (x/8)}=6

Answers (1)

\frac{3}{4 x}+\frac{x}{8}=6$ \\ \\ $\frac{8 * 3+4 x*x}{8*4 x}=6$ \\ \\ $8 * 3+4 x * x=6 * 8 * 4 x$ \\ $24+4 x^{2}=192 x$ \\ $4 x^{2}-192 x+24=0$ \\ $x^{2}-48 x+6=0$
The two roots are:

x=\left(\frac{48+\sqrt{48^{2}-(4 * 1 * 6)}}{2 * 1}\right) \operatorname{and}\left(\frac{48-\sqrt{48^{2}-(4 * 1 * 6)}}{2 * 1}\right)$ \\ $x=(24+\sqrt{570})$ and $24-\sqrt{570}$

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