What is the answer to 8x=100+11sqrt(x) ?

The answer to 8x=100+11sqrt(x) is x=(1721+99sqrt(41))/(128)

Solve for x: 8x=100+11sqrt(x)

The solution is x=(1721+99sqrt(41))/(128)

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8 x = 100 + 11 x

x = \frac{1721 + 99 41}{128}

Decimal Notation

x = 18.39772 \dots

Solution steps

8 x = 100 + 11 x

Remove square roots

64 x^{2} - 1600 x + 10000 = 121 x

Solve

64 x^{2} - 1600 x + 10000 = 121 x : x = \frac{1721 + 99 41}{128}, x = \frac{1721 - 99 41}{128}

x = \frac{1721 + 99 41}{128}, x = \frac{1721 - 99 41}{128}

Verify Solutions:

x = \frac{1721 + 99 41}{128}

True

, x = \frac{1721 - 99 41}{128}

False

The solution is

x = \frac{1721 + 99 41}{128}

x x = 5 (3) - 4 (3)

2 x - x + 5 = 0

0.81 - \frac{0.57}{x} = 0

0.2 = (1 + x)^{\frac{45}{360}} - 1

(x + 5)^{2} = (x^{0.4}) + 12

What is the answer to 8x=100+11sqrt(x) ?
The answer to 8x=100+11sqrt(x) is x=(1721+99sqrt(41))/(128)
Solve for x: 8x=100+11sqrt(x)
The solution is x=(1721+99sqrt(41))/(128)