Solve 5x*2x=450

$$5x \times 2x=450$$

Solve for x

$$x=3\sqrt{5}\approx 6.708203932$$

$$x=-3\sqrt{5}\approx -6.708203932$$

Steps by Finding Square Root

Multiply x and x to get x^{2}.

$$5x^{2}\times 2=450$$

Multiply 5 and 2 to get 10.

$$10x^{2}=450$$

Divide both sides by 10.

$$x^{2}=\frac{450}{10}$$

Divide 450 by 10 to get 45.

$$x^{2}=45$$

Take the square root of both sides of the equation.

$$x=3\sqrt{5} x=-3\sqrt{5}$$

Steps Using the Quadratic Formula

Multiply x and x to get x^{2}.

$$5x^{2}\times 2=450$$

Multiply 5 and 2 to get 10.

$$10x^{2}=450$$

Subtract 450 from both sides.

$$10x^{2}-450=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 10 for a, 0 for b, and -450 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 10\left(-450\right)}}{2\times 10}$$

Square 0.

$$x=\frac{0±\sqrt{-4\times 10\left(-450\right)}}{2\times 10}$$

Multiply -4 times 10.

$$x=\frac{0±\sqrt{-40\left(-450\right)}}{2\times 10}$$

Multiply -40 times -450.

$$x=\frac{0±\sqrt{18000}}{2\times 10}$$

Take the square root of 18000.

$$x=\frac{0±60\sqrt{5}}{2\times 10}$$

Multiply 2 times 10.

$$x=\frac{0±60\sqrt{5}}{20}$$

Now solve the equation x=\frac{0±60\sqrt{5}}{20} when ± is plus.

$$x=3\sqrt{5}$$

Now solve the equation x=\frac{0±60\sqrt{5}}{20} when ± is minus.

$$x=-3\sqrt{5}$$

The equation is now solved.

$$x=3\sqrt{5} x=-3\sqrt{5}$$