What is the answer to 6x-19x^{1/2}+3=0 ?

The answer to 6x-19x^{1/2}+3=0 is x=9,x= 1/36

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6x-19x^{1/2}+3=0

6 x - 19 x^{\frac{1}{2}} + 3 = 0

x = 9, x = \frac{1}{36}

Decimal Notation

x = 9, x = 0.02777 \dots

Solution steps

6 x - 19 x^{\frac{1}{2}} + 3 = 0

Remove square roots

361 x = 36 x^{2} + 36 x + 9

Solve

361 x = 36 x^{2} + 36 x + 9 : x = 9, x = \frac{1}{36}

x = 9, x = \frac{1}{36}

Verify Solutions:

x = 9

True

, x = \frac{1}{36}

True

The solutions are

x = 9, x = \frac{1}{36}

x^{2} - x - 2 = x + 2

x^{2} - x - 2 = x + 6

(3 x - 1)^{\frac{3}{2}} = 8

(x - 6)^{\frac{5}{3}} = 32

x - 3 x - 8 = 6

What is the answer to 6x-19x^{1/2}+3=0 ?
The answer to 6x-19x^{1/2}+3=0 is x=9,x= 1/36
Solve for x: 6x-19x^{1/2}+3=0
The solution is x=9,x= 1/36