What is the answer to sqrt(75x+400)x=16 ?

The answer to sqrt(75x+400)x=16 is x\approx 0.74911…

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sqrt(75x+400)x=16

75 x + 400 x = 16

x \approx 0.74911 \dots

Solution steps

75 x + 400 x = 16

Square both sides:

75 x^{3} + 400 x^{2} = 256

75 x^{3} + 400 x^{2} = 256

Solve

75 x^{3} + 400 x^{2} = 256 : x \approx 0.74911 \dots, x \approx - 0.87498 \dots, x \approx - 5.20746 \dots

x \approx 0.74911 \dots, x \approx - 0.87498 \dots, x \approx - 5.20746 \dots

Verify Solutions:

x \approx 0.74911 \dots

True

, x \approx - 0.87498 \dots

False

, x \approx - 5.20746 \dots

False

The solution is

x \approx 0.74911 \dots

3 x = x 64 - x^{2}

1.5 = 16.5 x^{- 1.38}

C^{13.8} = \frac{13 !}{8 ! ( 13 - 8 ) !}

What is the answer to sqrt(75x+400)x=16 ?
The answer to sqrt(75x+400)x=16 is x\approx 0.74911…
Solve for x: sqrt(75x+400)x=16
The solution is x\approx 0.74911…