The focal length, F, of a camera's lens is related to the distance of the object from the lens. I and the distance to the image area in the camera, W, by the formula below. (1)/(J)+(1)/(W)=(1)/(F) When this equation is solved for J in terms of F and W. J equals (1) F-W (2) (FW)/(F+W) (3) (FW)/(W-F) (4) (1)/(F)-(1)/(W)

Question

Bytelearn · Accepted Answer

Write Equation: Write down the given equation. We have the equation (1/J) + (1/W) = (1/F).Isolate J: Get terms involving J on one side of the equation. To isolate J, we subtract (1/W) from both sides of the equation to get (1/J) = (1/F) - (1/W).Find Common Denominator: Find a common denominator for the right side of the equation. The common denominator for F and W is F*W. So we rewrite the right side as ((W)/(F*W)) - ((F)/(F*W)).Combine Fractions: Combine the fractions on the right side of the equation. After finding the common denominator, we combine the fractions to get (1/J) = (W - F)/(F*W).Invert to Solve for J: Invert both sides of the equation to solve for J. We take the reciprocal of both sides to get J = (F*W)/(W - F).

Full solution

More problems from Find derivatives of sine and cosine functions

Related topics