Solve (1700-881.41)div19x^2+2*881.41=0

$$(1700-881.41) \div 19 { x }^{ 2 } +2 \times 881.41=0$$

Solve for x (complex solution)

$$x=-\frac{i\times 19\sqrt{759487802}}{81859}\approx -0-6.396576049i$$

$$x=\frac{i\times 19\sqrt{759487802}}{81859}\approx 6.396576049i$$

Steps by Finding Square Root

Multiply both sides of the equation by 19.

$$\left(1700-881.41\right)x^{2}+38\times 881.41=0$$

Subtract 881.41 from 1700 to get 818.59.

$$818.59x^{2}+38\times 881.41=0$$

Multiply 38 and 881.41 to get 33493.58.

$$818.59x^{2}+33493.58=0$$

Subtract 33493.58 from both sides. Anything subtracted from zero gives its negation.

$$818.59x^{2}=-33493.58$$

Divide both sides by 818.59.

$$x^{2}=\frac{-33493.58}{818.59}$$

Expand \frac{-33493.58}{818.59} by multiplying both numerator and the denominator by 100.

$$x^{2}=\frac{-3349358}{81859}$$

Fraction \frac{-3349358}{81859} can be rewritten as -\frac{3349358}{81859} by extracting the negative sign.

$$x^{2}=-\frac{3349358}{81859}$$

The equation is now solved.

$$x=\frac{19\sqrt{759487802}i}{81859} x=-\frac{19\sqrt{759487802}i}{81859}$$

Steps Using the Quadratic Formula

Multiply both sides of the equation by 19.

$$\left(1700-881.41\right)x^{2}+38\times 881.41=0$$

Subtract 881.41 from 1700 to get 818.59.

$$818.59x^{2}+38\times 881.41=0$$

Multiply 38 and 881.41 to get 33493.58.

$$818.59x^{2}+33493.58=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 818.59 for a, 0 for b, and 33493.58 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 818.59\times 33493.58}}{2\times 818.59}$$

Square 0.

$$x=\frac{0±\sqrt{-4\times 818.59\times 33493.58}}{2\times 818.59}$$

Multiply -4 times 818.59.

$$x=\frac{0±\sqrt{-3274.36\times 33493.58}}{2\times 818.59}$$

Multiply -3274.36 times 33493.58 by multiplying numerator times numerator and denominator times denominator. Then reduce the fraction to lowest terms if possible.

$$x=\frac{0±\sqrt{-109670038.6088}}{2\times 818.59}$$

Take the square root of -109670038.6088.

$$x=\frac{0±\frac{19\sqrt{759487802}i}{50}}{2\times 818.59}$$

Multiply 2 times 818.59.

$$x=\frac{0±\frac{19\sqrt{759487802}i}{50}}{1637.18}$$

Now solve the equation x=\frac{0±\frac{19\sqrt{759487802}i}{50}}{1637.18} when ± is plus.

$$x=\frac{19\sqrt{759487802}i}{81859}$$

Now solve the equation x=\frac{0±\frac{19\sqrt{759487802}i}{50}}{1637.18} when ± is minus.

$$x=-\frac{19\sqrt{759487802}i}{81859}$$

The equation is now solved.

$$x=\frac{19\sqrt{759487802}i}{81859} x=-\frac{19\sqrt{759487802}i}{81859}$$