Solve 44x^2*sqrt{9}=1

$$44 { x }^{ 2 } \times \sqrt{ 9 } =1$$

Solve for x

$$x=\frac{\sqrt{33}}{66}\approx 0.087038828$$

$$x=-\frac{\sqrt{33}}{66}\approx -0.087038828$$

Steps by Finding Square Root

Calculate the square root of 9 and get 3.

$$44x^{2}\times 3=1$$

Multiply 44 and 3 to get 132.

$$132x^{2}=1$$

Divide both sides by 132.

$$x^{2}=\frac{1}{132}$$

Take the square root of both sides of the equation.

$$x=\frac{\sqrt{33}}{66} x=-\frac{\sqrt{33}}{66}$$

Steps Using the Quadratic Formula

Calculate the square root of 9 and get 3.

$$44x^{2}\times 3=1$$

Multiply 44 and 3 to get 132.

$$132x^{2}=1$$

Subtract 1 from both sides.

$$132x^{2}-1=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 132 for a, 0 for b, and -1 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 132\left(-1\right)}}{2\times 132}$$

Square 0.

$$x=\frac{0±\sqrt{-4\times 132\left(-1\right)}}{2\times 132}$$

Multiply -4 times 132.

$$x=\frac{0±\sqrt{-528\left(-1\right)}}{2\times 132}$$

Multiply -528 times -1.

$$x=\frac{0±\sqrt{528}}{2\times 132}$$

Take the square root of 528.

$$x=\frac{0±4\sqrt{33}}{2\times 132}$$

Multiply 2 times 132.

$$x=\frac{0±4\sqrt{33}}{264}$$

Now solve the equation x=\frac{0±4\sqrt{33}}{264} when ± is plus.

$$x=\frac{\sqrt{33}}{66}$$

Now solve the equation x=\frac{0±4\sqrt{33}}{264} when ± is minus.

$$x=-\frac{\sqrt{33}}{66}$$

The equation is now solved.

$$x=\frac{\sqrt{33}}{66} x=-\frac{\sqrt{33}}{66}$$