The ‘Innovations for You’ handbook by Atal

I. x² – 36 = 0

II. y² - 7y + 6 = 0

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

Equation 1: x² - 34x + 285 = 0

Equation 2: y² - 26y + 165 = 0

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

Equation 1: x² - 54x + 704 = 0

Equation 2: y² - 44y + 448 = 0

I. 6p² – 7p = 5p – 7p² + 25

II. 11q² – 63q + 90 = 0

I. 7x² + 52x + 21 = 0

II. 6y² + 7y - 24 = 0

I. 2x² – 19x + 45 = 0

II. y² – 14y + 48 = 0

I. x² – 13x + 36 = 0

II. 3y² – 29y + 18 = 0

I. x² + 3x – 154 = 0

II. y² + 5y – 126 = 0

I. 12x² + 22x + 8 = 0

II. 4y² - y − 3 = 0

I.8^(x+3) +  8^(-x) =72 

II. 5^{(y + 5)} + 5^(-y) = 150