Solve x^2*9*9*9=4895123

$${ x }^{ 2 } \times 9 \times 9 \times 9=4895123$$

Solve for x

$$x = \frac{\sqrt{4895123}}{27} \approx 81.944166143$$

$$x = -\frac{\sqrt{4895123}}{27} \approx -81.944166143$$

Steps by Finding Square Root

Multiply 9 and 9 to get 81.

$$x^{2}\times 81\times 9=4895123$$

Multiply 81 and 9 to get 729.

$$x^{2}\times 729=4895123$$

Divide both sides by 729.

$$x^{2}=\frac{4895123}{729}$$

Take the square root of both sides of the equation.

$$x=\frac{\sqrt{4895123}}{27} x=-\frac{\sqrt{4895123}}{27}$$

Steps Using the Quadratic Formula

Multiply 9 and 9 to get 81.

$$x^{2}\times 81\times 9=4895123$$

Multiply 81 and 9 to get 729.

$$x^{2}\times 729=4895123$$

Subtract 4895123 from both sides.

$$x^{2}\times 729-4895123=0$$

Quadratic equations like this one, with an x^{2} term but no x term, can still be solved using the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}, once they are put in standard form: ax^{2}+bx+c=0.

$$729x^{2}-4895123=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 729 for a, 0 for b, and -4895123 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 729\left(-4895123\right)}}{2\times 729}$$

Square 0.

$$x=\frac{0±\sqrt{-4\times 729\left(-4895123\right)}}{2\times 729}$$

Multiply -4 times 729.

$$x=\frac{0±\sqrt{-2916\left(-4895123\right)}}{2\times 729}$$

Multiply -2916 times -4895123.

$$x=\frac{0±\sqrt{14274178668}}{2\times 729}$$

Take the square root of 14274178668.

$$x=\frac{0±54\sqrt{4895123}}{2\times 729}$$

Multiply 2 times 729.

$$x=\frac{0±54\sqrt{4895123}}{1458}$$

Now solve the equation x=\frac{0±54\sqrt{4895123}}{1458} when ± is plus.

$$x=\frac{\sqrt{4895123}}{27}$$

Now solve the equation x=\frac{0±54\sqrt{4895123}}{1458} when ± is minus.

$$x=-\frac{\sqrt{4895123}}{27}$$

The equation is now solved.

$$x=\frac{\sqrt{4895123}}{27} x=-\frac{\sqrt{4895123}}{27}$$