Solve 39=c^2-10c*(074)

$$39 = c ^ { 2 } - 10 c \times ( 074 )$$

Solve for c

$$c=\sqrt{39}\approx 6.244997998$$

$$c=-\sqrt{39}\approx -6.244997998$$

Steps by Finding Square Root

Multiply 10 and 0 to get 0.

$$39=c^{2}-0c\times 74$$

Multiply 0 and 74 to get 0.

$$39=c^{2}-0c$$

Anything times zero gives zero.

$$39=c^{2}-0$$

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

$$c^{2}-0=39$$

Add 0 to both sides.

$$c^{2}=39+0$$

Add 39 and 0 to get 39.

$$c^{2}=39$$

Take the square root of both sides of the equation.

$$c=\sqrt{39} c=-\sqrt{39}$$

Steps Using the Quadratic Formula

Multiply 10 and 0 to get 0.

$$39=c^{2}-0c\times 74$$

Multiply 0 and 74 to get 0.

$$39=c^{2}-0c$$

Anything times zero gives zero.

$$39=c^{2}-0$$

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

$$c^{2}-0=39$$

Subtract 39 from both sides.

$$c^{2}-0-39=0$$

Reorder the terms.

$$c^{2}-39=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and -39 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$c=\frac{0±\sqrt{0^{2}-4\left(-39\right)}}{2}$$

Square 0.

$$c=\frac{0±\sqrt{-4\left(-39\right)}}{2}$$

Multiply -4 times -39.

$$c=\frac{0±\sqrt{156}}{2}$$

Take the square root of 156.

$$c=\frac{0±2\sqrt{39}}{2}$$

Now solve the equation c=\frac{0±2\sqrt{39}}{2} when ± is plus.

$$c=\sqrt{39}$$

Now solve the equation c=\frac{0±2\sqrt{39}}{2} when ± is minus.

$$c=-\sqrt{39}$$

The equation is now solved.

$$c=\sqrt{39} c=-\sqrt{39}$$