What is the answer to 4x+27sqrt(x)=7 ?

The answer to 4x+27sqrt(x)=7 is x= 1/16

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4x+27sqrt(x)=7

4 x + 27 x = 7

x = \frac{1}{16}

Decimal Notation

x = 0.0625

Solution steps

4 x + 27 x = 7

Remove square roots

729 x = 49 - 56 x + 16 x^{2}

Solve

729 x = 49 - 56 x + 16 x^{2} : x = 49, x = \frac{1}{16}

x = 49, x = \frac{1}{16}

Verify Solutions:

x = 49

False

, x = \frac{1}{16}

True

The solution is

x = \frac{1}{16}

- 0.0348 = X^{- \frac{9}{12}}

x = 0.049346578

x + 3 = 2 4 x - 3

1 - \frac{1}{x - 1} = 0

- 0.75 = 0.992 m - m^{2} + 2.25