What is sqrt(x-1)+x/(2sqrt(x-1)) ?

The solution to sqrt(x-1)+x/(2sqrt(x-1)) is (3x-2)/(2sqrt(x-1))

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simplify sqrt(x-1)+x/(2sqrt(x-1))

simplify

x - 1 + \frac{x}{2 x - 1}

\frac{3 x - 2}{2 x - 1}

Solution steps

x - 1 + \frac{x}{2 x - 1}

Apply the fraction rule:

a + \frac{b}{c} = \frac{a c + b}{c}

= \frac{x - 1 \cdot 2 x - 1 + x}{2 x - 1}

Simplify

x - 1 \cdot 2 x - 1 : 2 (x - 1)

= \frac{2 ( x - 1 ) + x}{2 x - 1}

Simplify

2 (x - 1) + x : 3 x - 2

= \frac{3 x - 2}{2 x - 1}

lo g_{10} (6.4)

6 x^{2} x w

55 \times 2

100 - m^{2}

\frac{1 - \frac{11}{6}}{2}

What is sqrt(x-1)+x/(2sqrt(x-1)) ?
The solution to sqrt(x-1)+x/(2sqrt(x-1)) is (3x-2)/(2sqrt(x-1))