What is the answer to sqrt(16-x^2)=3x ?

The answer to sqrt(16-x^2)=3x is x=(2sqrt(2))/(sqrt(5))

Solve for x: sqrt(16-x^2)=3x

The solution is x=(2sqrt(2))/(sqrt(5))

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16 - x^{2} = 3 x

x = \frac{2 2}{5}

Decimal Notation

x = 1.26491 \dots

Solution steps

16 - x^{2} = 3 x

Square both sides:

16 - x^{2} = 9 x^{2}

16 - x^{2} = 9 x^{2}

Solve

16 - x^{2} = 9 x^{2} : x = \frac{2 2}{5}, x = - \frac{2 2}{5}

x = \frac{2 2}{5}, x = - \frac{2 2}{5}

Verify Solutions:

x = \frac{2 2}{5}

True

, x = - \frac{2 2}{5}

False

The solution is

x = \frac{2 2}{5}

x^{2} + 6 x = 1

4 y = y + 3

y^{\frac{3}{2}} = 9 y

3 2 x - 3 - 20 = 7

What is the answer to sqrt(16-x^2)=3x ?
The answer to sqrt(16-x^2)=3x is x=(2sqrt(2))/(sqrt(5))
Solve for x: sqrt(16-x^2)=3x
The solution is x=(2sqrt(2))/(sqrt(5))