What is the answer to 75=sqrt(x^2+(-0.15x)^2) ?

The answer to 75=sqrt(x^2+(-0.15x)^2) is x=(1500)/(sqrt(409)),x=-(1500)/(sqrt(409))

Solve for x: 75=sqrt(x^2+(-0.15x)^2)

The solution is x=(1500)/(sqrt(409)),x=-(1500)/(sqrt(409))

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75 = x^{2} + (- 0.15 x)^{2}

x = \frac{1500}{409}, x = - \frac{1500}{409}

Decimal Notation

x = 74.17022 \dots, x = - 74.17022 \dots

Solution steps

75 = x^{2} + (- 0.15 x)^{2}

Square both sides:

5625 = 1.0225 x^{2}

5625 = 1.0225 x^{2}

Solve

5625 = 1.0225 x^{2} : x = \frac{1500}{409}, x = - \frac{1500}{409}

x = \frac{1500}{409}, x = - \frac{1500}{409}

Verify Solutions:

x = \frac{1500}{409}

True

, x = - \frac{1500}{409}

True

The solutions are

x = \frac{1500}{409}, x = - \frac{1500}{409}

4 2 x + 1 - 7 = 1

- 4 = 2 - y^{2} - 4 y + 15

t, x = t^{2} + 1

What is the answer to 75=sqrt(x^2+(-0.15x)^2) ?
The answer to 75=sqrt(x^2+(-0.15x)^2) is x=(1500)/(sqrt(409)),x=-(1500)/(sqrt(409))
Solve for x: 75=sqrt(x^2+(-0.15x)^2)
The solution is x=(1500)/(sqrt(409)),x=-(1500)/(sqrt(409))