What is the answer to 2x+9sqrt(x)-5=0 ?

The answer to 2x+9sqrt(x)-5=0 is x= 1/4

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2x+9sqrt(x)-5=0

2 x + 9 x - 5 = 0

x = \frac{1}{4}

Decimal Notation

x = 0.25

Solution steps

2 x + 9 x - 5 = 0

Remove square roots

81 x = 4 x^{2} - 20 x + 25

Solve

81 x = 4 x^{2} - 20 x + 25 : x = 25, x = \frac{1}{4}

x = 25, x = \frac{1}{4}

Verify Solutions:

x = 25

False

, x = \frac{1}{4}

True

The solution is

x = \frac{1}{4}

1 + x + 1 - x = 2

x - 5 + x = 5

2 x + 6 - x + 4 = 1

2 x + 4 x - 3 = 3

2 x + 1 = 3