Solve 17n^2-6x-11=0

$$17 n ^ { 2 } - 6 x - 11 = 0$$

Solve for x

$$x=\frac{17n^{2}-11}{6}$$

Steps for Solving Linear Equation

Subtract 17n^{2} from both sides. Anything subtracted from zero gives its negation.

$$-6x-11=-17n^{2}$$

Add 11 to both sides.

$$-6x=-17n^{2}+11$$

The equation is in standard form.

$$-6x=11-17n^{2}$$

Divide both sides by -6.

$$\frac{-6x}{-6}=\frac{11-17n^{2}}{-6}$$

Dividing by -6 undoes the multiplication by -6.

$$x=\frac{11-17n^{2}}{-6}$$

Divide -17n^{2}+11 by -6.

$$x=\frac{17n^{2}-11}{6}$$

Solve for n (complex solution)

$$n=-\frac{\sqrt{102x+187}}{17}$$

$$n=\frac{\sqrt{102x+187}}{17}$$

Solve for n

$$n=\frac{\sqrt{102x+187}}{17}$$

$$n=-\frac{\sqrt{102x+187}}{17}\text{, }x\geq -\frac{11}{6}$$