Solve 240000quad(17x)^2=270400

$$240000 \quad ( 17 x ) ^ { 2 } = 270400$$

Solve for x

$$x=\frac{13\sqrt{6}}{510}\approx 0.062437974$$

$$x=-\frac{13\sqrt{6}}{510}\approx -0.062437974$$

Steps by Finding Square Root

Divide both sides by 240000.

$$\left(17x\right)^{2}=\frac{270400}{240000}$$

Reduce the fraction \frac{270400}{240000} to lowest terms by extracting and canceling out 1600.

$$\left(17x\right)^{2}=\frac{169}{150}$$

Expand \left(17x\right)^{2}.

$$17^{2}x^{2}=\frac{169}{150}$$

Calculate 17 to the power of 2 and get 289.

$$289x^{2}=\frac{169}{150}$$

Divide both sides by 289.

$$x^{2}=\frac{\frac{169}{150}}{289}$$

Express \frac{\frac{169}{150}}{289} as a single fraction.

$$x^{2}=\frac{169}{150\times 289}$$

Multiply 150 and 289 to get 43350.

$$x^{2}=\frac{169}{43350}$$

Take the square root of both sides of the equation.

$$x=\frac{13\sqrt{6}}{510} x=-\frac{13\sqrt{6}}{510}$$