What is the answer to x+sqrt(x)= 6/25 ?

The answer to x+sqrt(x)= 6/25 is x= 1/25

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x+sqrt(x)= 6/25

x + x = \frac{6}{25}

x = \frac{1}{25}

Decimal Notation

x = 0.04

Solution steps

x + x = \frac{6}{25}

Multiply both sides by

25

x \cdot 25 + x \cdot 25 = \frac{6}{25} \cdot 25

Simplify

x \cdot 25 + x \cdot 25 = 6

Remove square roots

625 x = 36 - 300 x + 625 x^{2}

Solve

625 x = 36 - 300 x + 625 x^{2} : x = \frac{36}{25}, x = \frac{1}{25}

x = \frac{36}{25}, x = \frac{1}{25}

Verify Solutions:

x = \frac{36}{25}

False

, x = \frac{1}{25}

True

The solution is

x = \frac{1}{25}

1 + (1 + x)^{(\frac{1}{2})} = 2 x

x x = 8

x - x + 2 = 4

x^{(- 0.23)} = 0.238

What is the answer to x+sqrt(x)= 6/25 ?
The answer to x+sqrt(x)= 6/25 is x= 1/25
Solve for x: x+sqrt(x)= 6/25
The solution is x= 1/25