The series is
+ 7², + 6², + 5², + 4², + 3², + 2²
? = 61 + 6² =61 + 36 = 97

The series is +2, +3, +5, +7, +11, +13 (eonsecutive prime nos.)

The series is +11, +13, +17, +19, +23, +29 - all are prime numbers starling from 11 to 29.

The series is (+1><3), (+0x4), (-1x5), (-2x6), (-3x7)

The series is (x3 +2), (x4-3), (x5+4), (x6-5), (x7+6)

-(8/12 = 2/3) (-6/12) = -1/2              (-6/6 = 1) - 3/6 = -1/2

x = -2/3, -1/2                                    y = -1, -1/2

36x² + 24x + 3 = 0                     2y² + 3y + 1 = 0

(-18/36 = -1/2) (-6/36 = -1/6)           (-2/2 = -1)+ (-1/2)

x = -1/2, -1//6                                  y = -1, -1/2

x² = 1/4√16 = 1/4 x 4 = 1

x = + 1 

3√y = 2 = 2³ = 8

2x + 3y = 8

2x = 8 - 3y

= x = 1/2 (8 - 3y)

Putting the value of y in this case, we get

x = 1/2 (8 - 3(-5)) = 23/2 & 1/2 (8 - 3(-1) = 11/2

y² + 6y + 5 = 0

y = -5, -1

x = 3√1728 = 12,       y² = 29 + √49

= 29 + 7 = 36 = y = + 6