What is the answer to 8x=100(1+sqrt(x)) ?

The answer to 8x=100(1+sqrt(x)) is x=(11600+sqrt(132000000))/(128)

Solve for x: 8x=100(1+sqrt(x))

The solution is x=(11600+sqrt(132000000))/(128)

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8 x = 100 (1 + x)

x = \frac{11600 + 132000000}{128}

Decimal Notation

x = 180.38379 \dots

Solution steps

8 x = 100 (1 + x)

Expand

100 (1 + x) : 100 + 100 x

8 x = 100 + 100 x

Remove square roots

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

Solve

64 x^{2} - 1600 x + 10000 = 10000 x : x = \frac{11600 + 132000000}{128}, x = \frac{11600 - 132000000}{128}

x = \frac{11600 + 132000000}{128}, x = \frac{11600 - 132000000}{128}

Verify Solutions:

x = \frac{11600 + 132000000}{128}

True

, x = \frac{11600 - 132000000}{128}

False

The solution is

x = \frac{11600 + 132000000}{128}

\frac{4 x + 7}{5 x - 2} = 14

26 + p = 7 - 3 - p

3 - \frac{1}{1 - x ^{2}} = 0

What is the answer to 8x=100(1+sqrt(x)) ?
The answer to 8x=100(1+sqrt(x)) is x=(11600+sqrt(132000000))/(128)
Solve for x: 8x=100(1+sqrt(x))
The solution is x=(11600+sqrt(132000000))/(128)