Solve 4287quad20:x=x:5

$$4287 \quad 20 : x = x : 5$$

Solve for x

$$x=10\sqrt{4287}\approx 654.751861395$$

$$x=-10\sqrt{4287}\approx -654.751861395$$

Steps by Finding Square Root

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 5x, the least common multiple of x,5.

$$5\times 4287\times 20=xx$$

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

$$5\times 4287\times 20=x^{2}$$

Multiply 5 and 4287 to get 21435.

$$21435\times 20=x^{2}$$

Multiply 21435 and 20 to get 428700.

$$428700=x^{2}$$

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

$$x^{2}=428700$$

Take the square root of both sides of the equation.

$$x=10\sqrt{4287} x=-10\sqrt{4287}$$

Steps Using the Quadratic Formula

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 5x, the least common multiple of x,5.

$$5\times 4287\times 20=xx$$

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

$$5\times 4287\times 20=x^{2}$$

Multiply 5 and 4287 to get 21435.

$$21435\times 20=x^{2}$$

Multiply 21435 and 20 to get 428700.

$$428700=x^{2}$$

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

$$x^{2}=428700$$

Subtract 428700 from both sides.

$$x^{2}-428700=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and -428700 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\left(-428700\right)}}{2}$$

Square 0.

$$x=\frac{0±\sqrt{-4\left(-428700\right)}}{2}$$

Multiply -4 times -428700.

$$x=\frac{0±\sqrt{1714800}}{2}$$

Take the square root of 1714800.

$$x=\frac{0±20\sqrt{4287}}{2}$$

Now solve the equation x=\frac{0±20\sqrt{4287}}{2} when ± is plus.

$$x=10\sqrt{4287}$$

Now solve the equation x=\frac{0±20\sqrt{4287}}{2} when ± is minus.

$$x=-10\sqrt{4287}$$

The equation is now solved.

$$x=10\sqrt{4287} x=-10\sqrt{4287}$$