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

The answer to 9sqrt(x)-9=2x is x=9,x= 9/4

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9sqrt(x)-9=2x

9 x - 9 = 2 x

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

Decimal Notation

x = 9, x = 2.25

Solution steps

9 x - 9 = 2 x

Remove square roots

81 x = 4 x^{2} + 36 x + 81

Solve

81 x = 4 x^{2} + 36 x + 81 : x = 9, x = \frac{9}{4}

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

Verify Solutions:

x = 9

True

, x = \frac{9}{4}

True

The solutions are

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

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0.006 x^{1.6} + 0.2 x - 40 = 0

3 x + 12 = x - 2