Solve left(xdiv53.8right)^2*100=79

$${ \left(x \div 53.8 \right) }^{ 2 } \times 100=79$$

Solve for x

$$x = \frac{269 \sqrt{79}}{50} \approx 47.818485965$$

$$x = -\frac{269 \sqrt{79}}{50} \approx -47.818485965$$

Steps by Finding Square Root

Divide both sides by 100.

$$\left(\frac{x}{53.8}\right)^{2}=\frac{79}{100}$$

To raise \frac{x}{53.8} to a power, raise both numerator and denominator to the power and then divide.

$$\frac{x^{2}}{53.8^{2}}=\frac{79}{100}$$

Calculate 53.8 to the power of 2 and get 2894.44.

$$\frac{x^{2}}{2894.44}=\frac{79}{100}$$

Multiply both sides by 2894.44.

$$x^{2}=\frac{79}{100}\times 2894.44$$

Multiply \frac{79}{100} and 2894.44 to get \frac{5716519}{2500}.

$$x^{2}=\frac{5716519}{2500}$$

Take the square root of both sides of the equation.

$$x=\frac{269\sqrt{79}}{50} x=-\frac{269\sqrt{79}}{50}$$