Solve (44)^2*0.01=0.02x^2

$$( 44 ) ^ { 2 } \times 0.01 = 0.02 x ^ { 2 }$$

Solve for x

$$x=22\sqrt{2}\approx 31.112698372$$

$$x=-22\sqrt{2}\approx -31.112698372$$

Steps by Finding Square Root

Calculate 44 to the power of 2 and get 1936.

$$1936\times 0.01=0.02x^{2}$$

Multiply 1936 and 0.01 to get 19.36.

$$19.36=0.02x^{2}$$

Swap sides so that all variable terms are on the left hand side.

$$0.02x^{2}=19.36$$

Divide both sides by 0.02.

$$x^{2}=\frac{19.36}{0.02}$$

Expand \frac{19.36}{0.02} by multiplying both numerator and the denominator by 100.

$$x^{2}=\frac{1936}{2}$$

Divide 1936 by 2 to get 968.

$$x^{2}=968$$

Take the square root of both sides of the equation.

$$x=22\sqrt{2} x=-22\sqrt{2}$$

Steps Using the Quadratic Formula

Calculate 44 to the power of 2 and get 1936.

$$1936\times 0.01=0.02x^{2}$$

Multiply 1936 and 0.01 to get 19.36.

$$19.36=0.02x^{2}$$

Swap sides so that all variable terms are on the left hand side.

$$0.02x^{2}=19.36$$

Subtract 19.36 from both sides.

$$0.02x^{2}-19.36=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 0.02 for a, 0 for b, and -19.36 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 0.02\left(-19.36\right)}}{2\times 0.02}$$

Square 0.

$$x=\frac{0±\sqrt{-4\times 0.02\left(-19.36\right)}}{2\times 0.02}$$

Multiply -4 times 0.02.

$$x=\frac{0±\sqrt{-0.08\left(-19.36\right)}}{2\times 0.02}$$

Multiply -0.08 times -19.36 by multiplying numerator times numerator and denominator times denominator. Then reduce the fraction to lowest terms if possible.

$$x=\frac{0±\sqrt{1.5488}}{2\times 0.02}$$

Take the square root of 1.5488.

$$x=\frac{0±\frac{22\sqrt{2}}{25}}{2\times 0.02}$$

Multiply 2 times 0.02.

$$x=\frac{0±\frac{22\sqrt{2}}{25}}{0.04}$$

Now solve the equation x=\frac{0±\frac{22\sqrt{2}}{25}}{0.04} when ± is plus.

$$x=22\sqrt{2}$$

Now solve the equation x=\frac{0±\frac{22\sqrt{2}}{25}}{0.04} when ± is minus.

$$x=-22\sqrt{2}$$

The equation is now solved.

$$x=22\sqrt{2} x=-22\sqrt{2}$$