Solve z^2+27=10k

$$z ^ { 2 } + 27 = 10 k$$

Solve for k

$$k=\frac{z^{2}+27}{10}$$

Steps for Solving Linear Equation

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

$$10k=z^{2}+27$$

Divide both sides by 10.

$$\frac{10k}{10}=\frac{z^{2}+27}{10}$$

Dividing by 10 undoes the multiplication by 10.

$$k=\frac{z^{2}+27}{10}$$

Solve for z (complex solution)

$$z=-\sqrt{10k-27}$$

$$z=\sqrt{10k-27}$$

Solve for z

$$z=\sqrt{10k-27}$$

$$z=-\sqrt{10k-27}\text{, }k\geq \frac{27}{10}$$