What is the answer to 500=3x+10sqrt(x)+140 ?

The answer to 500=3x+10sqrt(x)+140 is x=(10(113-sqrt(1105)))/9

Solve for x: 500=3x+10sqrt(x)+140

The solution is x=(10(113-sqrt(1105)))/9

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500 = 3 x + 10 x + 140

x = \frac{10 ( 113 - 1105 )}{9}

Decimal Notation

x = 88.62051 \dots

Solution steps

500 = 3 x + 10 x + 140

Remove square roots

9 x^{2} - 2160 x + 129600 = 100 x

Solve

9 x^{2} - 2160 x + 129600 = 100 x : x = \frac{10 ( 113 + 1105 )}{9}, x = \frac{10 ( 113 - 1105 )}{9}

x = \frac{10 ( 113 + 1105 )}{9}, x = \frac{10 ( 113 - 1105 )}{9}

Verify Solutions:

x = \frac{10 ( 113 + 1105 )}{9}

False

, x = \frac{10 ( 113 - 1105 )}{9}

True

The solution is

x = \frac{10 ( 113 - 1105 )}{9}

1 + x - 3 = 0

y - 3 = - 5 y + 65

x - 2 - 8 = 0

x + 2 x - 8 = 0

3 x + 7 = 3 x + 5

What is the answer to 500=3x+10sqrt(x)+140 ?
The answer to 500=3x+10sqrt(x)+140 is x=(10(113-sqrt(1105)))/9
Solve for x: 500=3x+10sqrt(x)+140
The solution is x=(10(113-sqrt(1105)))/9