National Waterway-1 of India

I. x² - 11x + 24 = 0

II. y² - 5y + 6 = 0

I. 25p + 2(2p² – 1) = 8(p + 5)

II. 8q² + 35q – 78 = 0

I. 3q² -29q +18 = 0

II. 9p² - 4 = 0

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

Equation 1: x² - 41x + 400 = 0

Equation 2: y² - 41y + 420 = 0

I. 20x² - 93x + 108 = 0

II.72y² - 47y - 144 = 0

If the roots of the quadratic equation 5x² + 4x + 6 = 0 are α and β, then what is the value of [(1/α) + (1/β)]?

I. 15b² + 26b + 8 = 0

II. 20a² + 7a - 6 = 0

I. x² – 10x + 21 = 0

II. y² + 11y + 28 = 0

I). p² + 22p + 72 = 0,

II). q² - 24q + 128 = 0