Solve 3f^2+85=85

$$3 f ^ { 2 } + 85 = 85$$

Solve for f

$$f=0$$

Steps by Finding Square Root

Subtract 85 from both sides.

$$3f^{2}=85-85$$

Subtract 85 from 85 to get 0.

$$3f^{2}=0$$

Divide both sides by 3. Zero divided by any non-zero number gives zero.

$$f^{2}=0$$

Take the square root of both sides of the equation.

$$f=0 f=0$$

The equation is now solved. Solutions are the same.

$$f=0$$

Steps Using the Quadratic Formula

Subtract 85 from both sides.

$$3f^{2}+85-85=0$$

Subtract 85 from 85 to get 0.

$$3f^{2}=0$$

Divide both sides by 3. Zero divided by any non-zero number gives zero.

$$f^{2}=0$$

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

$$f=\frac{0±\sqrt{0^{2}}}{2}$$

Take the square root of 0^{2}.

$$f=\frac{0±0}{2}$$

Divide 0 by 2.

$$f=0$$