Solve xsqrt{1-2(0.3)^2}=45.3

$$x \sqrt { 1 - 2 ( 0.3 ) ^ { 2 } } = 45.3$$

Solve for x

$$x = \frac{453 \sqrt{82}}{82} \approx 50.025481312$$

Steps for Solving Linear Equation

Calculate 0.3 to the power of 2 and get 0.09.

$$x\sqrt{1-2\times 0.09}=45.3$$

Multiply 2 and 0.09 to get 0.18.

$$x\sqrt{1-0.18}=45.3$$

Subtract 0.18 from 1 to get 0.82.

$$x\sqrt{0.82}=45.3$$

The equation is in standard form.

$$\sqrt{0.82}x=45.3$$

Divide both sides by \sqrt{0.82}.

$$\frac{\sqrt{0.82}x}{\sqrt{0.82}}=\frac{45.3}{\sqrt{0.82}}$$

Dividing by \sqrt{0.82} undoes the multiplication by \sqrt{0.82}.

$$x=\frac{45.3}{\sqrt{0.82}}$$

Divide 45.3 by \sqrt{0.82}.

$$x=\frac{453\sqrt{82}}{82}$$