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

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

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

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

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8 x = 100 + 100 x

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

Decimal Notation

x = 180.38379 \dots

Solution steps

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}

x^{2} - 2 2 x + 2 = 0

- 1 + 3 x - 8 = 7

a - 3 - 1 = 2

7 x + 46 = x + 4

7 x + 46 = x + 8

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