What is the answer to sqrt((0.3x)^2+x^2)=30 ?

The answer to sqrt((0.3x)^2+x^2)=30 is x=(300)/(sqrt(109)),x=-(300)/(sqrt(109))

Solve for x: sqrt((0.3x)^2+x^2)=30

The solution is x=(300)/(sqrt(109)),x=-(300)/(sqrt(109))

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(0.3 x)^{2} + x^{2} = 30

x = \frac{300}{109}, x = - \frac{300}{109}

Decimal Notation

x = 28.73478 \dots, x = - 28.73478 \dots

Solution steps

(0.3 x)^{2} + x^{2} = 30

Square both sides:

1.09 x^{2} = 900

1.09 x^{2} = 900

Solve

1.09 x^{2} = 900 : x = \frac{300}{109}, x = - \frac{300}{109}

x = \frac{300}{109}, x = - \frac{300}{109}

Verify Solutions:

x = \frac{300}{109}

True

, x = - \frac{300}{109}

True

The solutions are

x = \frac{300}{109}, x = - \frac{300}{109}

x^{9} = x^{3}

3 = 49 - x^{2}

x, x - 3 x - 18 = 0

x^{2} - 4 x + 4 = 2 x - 1

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

What is the answer to sqrt((0.3x)^2+x^2)=30 ?
The answer to sqrt((0.3x)^2+x^2)=30 is x=(300)/(sqrt(109)),x=-(300)/(sqrt(109))
Solve for x: sqrt((0.3x)^2+x^2)=30
The solution is x=(300)/(sqrt(109)),x=-(300)/(sqrt(109))