Question
Which of the following is a pair of
co-primes?Solution
To determine which of the given pairs of numbers are co-prime, we must check if their greatest common divisor (GCD) is 1. Let's evaluate each pair: (198, 175) : Prime factorization of 198: 198=2×32×11 Prime factorization of 175: 175=52×7 GCD (198, 175) = 1 (No common factors) This pair is co-prime.
Solve the quadratic equations and determine the relation between x and y:
Equation 1: x² - 20x + 96 = 0
Equation 2: y² - 18y + 72 = 0
I. 56x² - 99x + 40 = 0
II. 8y² - 30y + 25 = 0
I. 7x² + 52x + 21 = 0
II. 6y² + 7y - 24 = 0
I. 96x² + 52x - 63 = 0
II. 77y² + 155y + 72 = 0
I. x2 + 16x + 63 = 0
II. y2 + 2y - 15 = 0
I. 104x² + 9x - 35 = 0
II. 72y² - 85y + 25 = 0
I. 9x2 + 45x + 26 = 0
II. 7y2 – 59y − 36 = 0
Solve the quadratic equations and determine the relation between x and y:
Equation 1: x² - 40x + 300 = 0
Equation 2: y² - 30y + 216 = 0
I.√(3x-17)+ x=15
II. y + 135/y=24
Solve the quadratic equations and determine the relation between x and y:
Equation 1: 21x² - 82x + 80 = 0
Equation 2: 23y² - 132y + 85 = 0
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