What is the answer to 2x^{-1}-5x^{-1/2}+3=0 ?

The answer to 2x^{-1}-5x^{-1/2}+3=0 is x=1,x= 4/9

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2x^{-1}-5x^{-1/2}+3=0

2 x^{- 1} - 5 x^{- \frac{1}{2}} + 3 = 0

x = 1, x = \frac{4}{9}

Decimal Notation

x = 1, x = 0.44444 \dots

Solution steps

2 x^{- 1} - 5 x^{- \frac{1}{2}} + 3 = 0

Expand

2 x^{- 1} - 5 x^{- \frac{1}{2}} + 3 : \frac{2}{x} - \frac{5}{x ^{\frac{1}{2}}} + 3

\frac{2}{x} - \frac{5}{x ^{\frac{1}{2}}} + 3 = 0

Remove square roots

\frac{25}{x} = \frac{4}{x ^{2}} + \frac{12}{x} + 9

Solve

\frac{25}{x} = \frac{4}{x ^{2}} + \frac{12}{x} + 9 : x = 1, x = \frac{4}{9}

x = 1, x = \frac{4}{9}

Verify Solutions:

x = 1

True

, x = \frac{4}{9}

True

The solutions are

x = 1, x = \frac{4}{9}

x = 9 x - 20

4 t^{3} + 6 = t

2 x^{\frac{3}{2}} = 54

10 - x = x - 4

What is the answer to 2x^{-1}-5x^{-1/2}+3=0 ?
The answer to 2x^{-1}-5x^{-1/2}+3=0 is x=1,x= 4/9
Solve for x: 2x^{-1}-5x^{-1/2}+3=0
The solution is x=1,x= 4/9