S. Hareesh who won a JCB Prize for Literature for 2020

I. 6p² – 7p = 5p – 7p² + 25

II. 11q² – 63q + 90 = 0

Solve the quadratic equations and determine the relation between x and y:

Equation 1: 4x² - 12x + 9 = 0

Equation 2: 2y² + 8y + 6 = 0

Solve the quadratic equations and determine the relation between x and y:

Equation 1: 4x² - 12x + 9 = 0

Equation 2: 2y² + 10y + 12 = 0

I. 8y² - 2y - 21 = 0

II. 2x² + x - 6 = 0

I.8^(x+3)+ 8^(-x)=72 

II. 5^(y+5)+ 5^(-x)=150 

I. 27(p + 2) = 2p(24 – p)

II. 2q² – 25q + 78 = 0

I. 4 x ² - 4 x  + 1 = 0                               

II. 4 y ² + 4 y  + 1 = 0

I. 35x² - 51x + 18 = 0

II. 30y² + 17y – 21 = 0

Solve the given two equations and answer the two questions that follow as per the instructions given below.

I. x² + x – 42 = 0

II. y² + 6y – 27 = 0