Solve x^2/4=1/16quadc)

$$\frac { x ^ { 2 } } { 4 } = \frac { 1 } { 16 } \quad c )$$

Solve for c

$$c=4x^{2}$$

Solution Steps

Multiply both sides of the equation by 16, the least common multiple of 4,16.

$$4x^{2}=1c$$

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

$$1c=4x^{2}$$

Reorder the terms.

$$c=4x^{2}$$

Solve for x (complex solution)

$$x=-\frac{\sqrt{c}}{2}$$

$$x=\frac{\sqrt{c}}{2}$$

Solve for x

$$x=\frac{\sqrt{c}}{2}$$

$$x=-\frac{\sqrt{c}}{2}\text{, }c\geq 0$$