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Clarke’s process involves adding calcium hydroxide to hard water to remove calcium and magnesium ions, thus softening the water.
(i) 2x² – 12x + 16 = 0
(ii) 2y² – 20y + 48 = 0
I. x²= 961
II. y= √961
Given the sum of the roots of the (b+2)y2 - (4b+2)y + 0 is (13/4), Determine the product of the roots.
I. 99 x² + 31 x – 110 = 0
II. 6y² - 31y + 35 = 0
I. 2x² - 7x + 3 = 0
II. 8y² - 14y + 5 = 0
Solve the quadratic equations and determine the relation between x and y:
Equation 1: x² - 42x + 392 = 0
Equation 2: y² - 46y + 480 = 0
I). 2p 2 – 13p + 21 = 0
II). q 2 – 10q + 24 = 0
I. 15y2+ 4y – 4 = 0
II. 15x2+ x – 6 = 0
If a quadratic polynomial y = ax2 + bx + c intersects x axis at a and β, then
I. 20y² - 13y + 2 = 0
II. 6x² - 25x + 14 = 0
