What is the answer to -1/(2xsqrt(x))=-1/2 ?

The answer to -1/(2xsqrt(x))=-1/2 is x=1

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-1/(2xsqrt(x))=-1/2

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

x = 1

Solution steps

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

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

- 1 \cdot 2 = - 2 x x \cdot 1

Expand

- 2 x x \cdot 1 : - 2 x x

- 1 \cdot 2 = - 2 x x

Square both sides:

4 = 4 x^{3}

4 = 4 x^{3}

Solve

4 = 4 x^{3} : x = 1

x = 1

Verify Solutions:

x = 1

True

The solution is

x = 1

2 x + 6 - x - 1 = 2

\frac{- 2 x ^{2} + 81}{81 - x ^{2}} = 0

y, x = y 1 - y^{2}

10 - 2 3 x - 1 = - 14

x + 36 + 6 = x

What is the answer to -1/(2xsqrt(x))=-1/2 ?
The answer to -1/(2xsqrt(x))=-1/2 is x=1
Solve for x: -1/(2xsqrt(x))=-1/2
The solution is x=1