Need help with this problem have tried it quite a few times and gotten the wrong

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Need help with this problem have tried it quite a few times and gotten the wrong answer, could you please explain step by step in detail and clearly mark the answer. Thanks in advance

HW-18 Problem 26.85 Resources « previous | 3 of 6 | next Press F11 to exit full screen Problem 26.85 Part A IP An object is located to the left of a concave lens whose focal length is -39 cn. The magnification produced by the lens is m1 0.33 To decrease the magnification to m2 0.26, should the object be moved closer to the lens or farther away? closer farther away Submit My Answers Give Up Correct Part B Calculate the distance through which the object should be moved. Express your answer using two significant tigures Submit My Answers Give Up Incorrect; Try Again; 9 attempts remaining Continue

Explanation / Answer

from the magnification equation

m = -q1/p1

0.33= -q1/p1

q1 =- 0.33 p1

from the lens equation

1/f= 1/p1 + 1/q1

= 1/p1 - 1/0.33 p1

1/-39 = 1/P1 ( 1- 3.033)

p1 = 79.18 cm

q2/p2 = 0.26

q2 = -0.26 p2

1/f = 1/p2 + 1/q2

1/-39 = 1/p2 - 1/0.26 p2

1/-39 = 1/p2 (-2.84)

p2 = 111 cm

d= p2-p1 = 31.82 cm

rounding two two siginificant digits d= 32 cm

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