Solve x*12xdiv100=7491

$$x \times 12x \div 100=7491$$

Solve for x

$$x=5\sqrt{2497}\approx 249.849954973$$

$$x=-5\sqrt{2497}\approx -249.849954973$$

Steps by Finding Square Root

Multiply both sides by 100.

$$x\times 12x=7491\times 100$$

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

$$x^{2}\times 12=7491\times 100$$

Multiply 7491 and 100 to get 749100.

$$x^{2}\times 12=749100$$

Divide both sides by 12.

$$x^{2}=\frac{749100}{12}$$

Divide 749100 by 12 to get 62425.

$$x^{2}=62425$$

Take the square root of both sides of the equation.

$$x=5\sqrt{2497} x=-5\sqrt{2497}$$

Steps Using the Quadratic Formula

Multiply both sides by 100.

$$x\times 12x=7491\times 100$$

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

$$x^{2}\times 12=7491\times 100$$

Multiply 7491 and 100 to get 749100.

$$x^{2}\times 12=749100$$

Subtract 749100 from both sides.

$$x^{2}\times 12-749100=0$$

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.

$$12x^{2}-749100=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 12 for a, 0 for b, and -749100 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 12\left(-749100\right)}}{2\times 12}$$

Square 0.

$$x=\frac{0±\sqrt{-4\times 12\left(-749100\right)}}{2\times 12}$$

Multiply -4 times 12.

$$x=\frac{0±\sqrt{-48\left(-749100\right)}}{2\times 12}$$

Multiply -48 times -749100.

$$x=\frac{0±\sqrt{35956800}}{2\times 12}$$

Take the square root of 35956800.

$$x=\frac{0±120\sqrt{2497}}{2\times 12}$$

Multiply 2 times 12.

$$x=\frac{0±120\sqrt{2497}}{24}$$

Now solve the equation x=\frac{0±120\sqrt{2497}}{24} when ± is plus.

$$x=5\sqrt{2497}$$

Now solve the equation x=\frac{0±120\sqrt{2497}}{24} when ± is minus.

$$x=-5\sqrt{2497}$$

The equation is now solved.

$$x=5\sqrt{2497} x=-5\sqrt{2497}$$