i need the shorter and longer distances. A screen is placed a distance d = 42.0 cm to the right of a small object. At what two distances to the right of the objectcan a converging lens of focal length +5,80 cm be placed if the real image of the object is at the location of the screen?sf(Hint: Use the thin lens equation in the form s' =so s'(s - n = st. Write s'=d-s and solve for s in theresulting quadratic equation.)13941.862shorter distanceX cmlonger distanceX cmFor this lens, what is the smallest value d can have and an image be formed on the screen?23 2cmAdditional MaterialsO Thin Lenses

We will solve the quadratic equation,

A screen is placed a distance d = 42.0 cm to the right of a small object. At what two distances to the right of the object can a converging lens of focal length +5,80 cm be placed if the real image of the object is at the location of the screen? sf S-f (Hint: Use the thin lens equation in the form s' = so s's -) = sf. Write s'= d-s and solve for s in the resulting quadratic equation.) 139 41.862 shorter distance X cm longer distance X cm For this lens, what is the smalliest value d can have and an image be formed on the screen? 232 cm Additional Materials O Thin Lenses

A screen is placed a distance d = 42.0 cm to the right of a small object. At what two distances to the right of the object can a converging lens of focal length +5,80 cm be placed if the real image of the object is at the location of the screen? sf S-f (Hint: Use the thin lens equation in the form s' = so s's -) = sf. Write s'= d-s and solve for s in the resulting quadratic equation.) 139 41.862 shorter distance X cm longer distance X cm For this lens, what is the smalliest value d can have and an image be formed on the screen? 232 cm Additional Materials O Thin Lenses