Solve the given equations and answer the following questions

I.(4x² + 4Px - 150) = (3x² + 3Px - 15)

II.y² - 4ay + Q = 0

III. z² - (S + R)z - (8S - 2) = 0

Note:

i) Series: a, 29, 56, 90, 131, 179, 234

ii) One of the roots in equation I is a

iii) One of the roots in equation II is (a + 3)

iv) Another root in equation I and II are R and S other than note i and ii respectively.

Find the smaller root in equation III.