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

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

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

simplify

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

\frac{x ( x ^{2} + x + 1 )}{2 x}

Solution steps

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

Multiply by the conjugate

\frac{x}{x}

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

2 x x = 2 x

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

\int \frac{8 x}{8 x + 3} d x

\frac{d}{d x} ((7 - 3 x^{3})^{2})

\int_{0}^{2} x e^{- x} d x

x \to 0 lim ((x - 2) e^{- \frac{1}{x}})

x (\frac{d y}{d x}) = 2 x + 2 y

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