Question
I. 20y² - 13y + 2 = 0 II. 6x² - 25x +
14 = 0 In the following questions, two equations numbered I and II are given. You have to solve both the equations and give answer.Solution
I. 20y² - 13y + 2 = 0 20y² - 8y - 5y + 2 = 0 4y (5y – 2) – 1(5y – 2) = 0 (4y – 1) (5y – 2) = 0 y =2/5, 1/4 II. 6x² - 25x + 14 = 0 6x² - 21x - 4x + 14 = 0 3x (2x – 7) - 2 (2x – 7) = 0 (3x – 2) (2x – 7) = 0 x = 7/2 , 2/3 Hence, x>y
Solve the quadratic equations and determine the relation between x and y:
Equation 1: x² - 24x + 143 = 0
Equation 2: y² - 26y + 165 = 0
If x^2 - 7x + k = 0 has roots that are equal, what is the value of k?
In each of these questions, two equations (I) and (II) are given.You have to solve both the equations and give answer Â
I. 7x² - 19x + 10 = 0...
Equation 1: x² + 16x + 63 = 0
Equation 2: y² + 10y + 21 = 0
How many values of x and y satisfy the equation 2x + 4y = 8 & 3x + 6y = 10.
I. 3y2 + 16y + 16 = 0
II. 2x2 + 19x + 45 = 0
I. 14p2 – 135p + 81 = 0
II. 7q2 – 65q + 18 = 0
I. 35x² - 51x + 18 = 0
II. 30y² + 17y – 21 = 0
I. p2Â - 53p + 672 = 0
II. q2Â - 27q + 126Â = 0
I. 10x² - 11x + 3 = 0
II. 42y² - 23y – 10 = 0
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