Question
I. 35x² - 51x + 18 = 0 II. 30y² + 17y
– 21 = 0Solution
I. 35x² - 51x + 18 = 0 35x² - 21x - 30x + 18 = 0 7x(5x – 3) - 6(5x - 3) = 0 (7x – 6) (5x – 3) = 0 x = 6/7, 3/5 II. 30y² +17y – 21 = 0 30y² + 35y - 18y – 21 = 0 5y (6y + 7) – 3 (6y + 7) = 0 (5y – 3) (6y + 7) = 0 y = 3/5, -7/6 Hence, x ≥ y
If x² + 2x + 9 = (x – 2) (x – 3), then the resultant equation is:
What will be the product of smaller roots of both equations.Â
I. 40 x² - 93 x + 54 = 0
II. 30 y² - 61 y + 30 = 0
I. 27x6 - 152x3 + 125 = 0
II. 216y6 - 91y3 + 8 = 0
I. x2 – 9x + 18 = 0
II. y2 – 5y + 6 = 0
Solve the quadratic equations and determine the relation between x and y:
Equation 1: 3x² + 6x - 9 = 0
Equation 2: 2y² - 16y + 32 = 0
I. 117x² + 250x + 117 = 0
II. 54y² -123y + 65 = 0
Solve the quadratic equations and determine the relation between x and y:
Equation 1: 19x² - 92x + 73 = 0
Equation 2: 17y² - 76y + 59 = 0
I. x2 – 13x + 40 = 0
II. 2y2 – 15y + 13 = 0Â
In each of these questions, two equations (I) and (II) are given.You have to solve both the equations and give answer Â
I. x2 – ...
