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ATQ,From I: p2 – 3p – 54 = 0 p2 – 9p + 6p – 54 = 0 p(p – 9) + 6(p – 9) = 0 (p – 9)(p + 6) = 0 p = 9, -6 From II: q2– 19q + 90 = 0 q2– 9q – 10q + 90 = 0 q(q – 9) – 10(q – 9) = 0 (q –9)(q – 10) = 0 q = 9, 10 So, p ≤ q
Solve the quadratic equations and determine the relation between x and y:
Equation 1: 103x² - 470x + 367 = 0
Equation 2: 107y² - 504y + 397 = 0
I. 2x² - 15x + 13 = 0
II. 3y² - 6y + 3 = 0
Solve the quadratic equations and determine the relation between x and y:
Equation 1: x² - 32x + 207 = 0
Equation 2: y² - 51y + 648 = 0
I. 40x² + 81x + 35 = 0
II. 63y² + 103y + 42 = 0
I. x² + 3x – 154 = 0
II. y² + 5y – 126 = 0
I. 8x – 3y = 85
II. 4x – 5y = 67
I. x2 - x - 56 = 0
II. y2 - 20y + 96 = 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. x2 + 24x + 143 = 0
II. y2 + 12y + 35 = 0
I. 2y2– 19y + 35 = 0
II. 4x2– 16x + 15 = 0