Solve 6x^2+1.98+4.953124=0

$$6 x ^ { 2 } + 1.98 + 4.953124 = 0$$

Solve for x (complex solution)

$$x=-\frac{i\sqrt{10399686}}{3000}\approx -0-1.074951472i$$

$$x=\frac{i\sqrt{10399686}}{3000}\approx 1.074951472i$$

Steps by Finding Square Root

Add 1.98 and 4.953124 to get 6.933124.

$$6x^{2}+6.933124=0$$

Subtract 6.933124 from both sides. Anything subtracted from zero gives its negation.

$$6x^{2}=-6.933124$$

Divide both sides by 6.

$$x^{2}=\frac{-6.933124}{6}$$

Expand \frac{-6.933124}{6} by multiplying both numerator and the denominator by 1000000.

$$x^{2}=\frac{-6933124}{6000000}$$

Reduce the fraction \frac{-6933124}{6000000} to lowest terms by extracting and canceling out 4.

$$x^{2}=-\frac{1733281}{1500000}$$

The equation is now solved.

$$x=\frac{\sqrt{10399686}i}{3000} x=-\frac{\sqrt{10399686}i}{3000}$$

Steps Using the Quadratic Formula

Add 1.98 and 4.953124 to get 6.933124.

$$6x^{2}+6.933124=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 6 for a, 0 for b, and 6.933124 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 6\times 6.933124}}{2\times 6}$$

Square 0.

$$x=\frac{0±\sqrt{-4\times 6\times 6.933124}}{2\times 6}$$

Multiply -4 times 6.

$$x=\frac{0±\sqrt{-24\times 6.933124}}{2\times 6}$$

Multiply -24 times 6.933124.

$$x=\frac{0±\sqrt{-166.394976}}{2\times 6}$$

Take the square root of -166.394976.

$$x=\frac{0±\frac{\sqrt{10399686}i}{250}}{2\times 6}$$

Multiply 2 times 6.

$$x=\frac{0±\frac{\sqrt{10399686}i}{250}}{12}$$

Now solve the equation x=\frac{0±\frac{\sqrt{10399686}i}{250}}{12} when ± is plus.

$$x=\frac{\sqrt{10399686}i}{3000}$$

Now solve the equation x=\frac{0±\frac{\sqrt{10399686}i}{250}}{12} when ± is minus.

$$x=-\frac{\sqrt{10399686}i}{3000}$$

The equation is now solved.

$$x=\frac{\sqrt{10399686}i}{3000} x=-\frac{\sqrt{10399686}i}{3000}$$