What is the answer to 100sqrt(x)=2x+1200 ?

The answer to 100sqrt(x)=2x+1200 is x=900,x=400

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100sqrt(x)=2x+1200

100 x = 2 x + 1200

x = 900, x = 400

Solution steps

100 x = 2 x + 1200

Square both sides:

10000 x = 4 x^{2} + 4800 x + 1440000

10000 x = 4 x^{2} + 4800 x + 1440000

Solve

10000 x = 4 x^{2} + 4800 x + 1440000 : x = 900, x = 400

x = 900, x = 400

Verify Solutions:

x = 900

True

, x = 400

True

The solutions are

x = 900, x = 400

0 = x + 6

0 = x + 5

x^{2} + 15 x + 2 x^{2} + 15 x = 24

2 b + 5 = 11 - b

2 x - 6 - 1 = x - 8

What is the answer to 100sqrt(x)=2x+1200 ?
The answer to 100sqrt(x)=2x+1200 is x=900,x=400
Solve for x: 100sqrt(x)=2x+1200
The solution is x=900,x=400