Question
If the sum of two numbers is 3 and sum of their squares
is 12, then their product is equal toSolution
(a and b are two numbers) ATQ- a+b =3... (1) a² + b² = 12... (2) On squaring equation (i) a2+ b² + 2ab = 9 12+2ab=9 2ab = -3 ab = -3/2
For 3x² − 10x − 8 = 0, find (1/α + 1/β).
I. 88x² - 13 x – 56 = 0
II. 15 y² + 41 y + 28 = 0
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...
I. 12y2 + 11y – 15 = 0
II. 8x2 – 6x – 5 = 0
I. x2 + 16x + 63 = 0
II. y2 + 2y - 15 = 0
The equation x2 – px – 60 = 0, has two roots ‘a’ and ‘b’ such that (a – b) = 17 and p > 0. If a series starts with ‘p’ such...
I. 2p² - 11p + 12 = 0
II. 2q² - 17q + 36 = 0
I. 84x² - 167x - 55 = 0
II. 247y² + 210y + 27 = 0
I. 6 y² + 11 y – 7= 0
II. 21 x² + 5 x – 6 = 0
I. x2 + x – 42 = 0
II. y2 + 6y – 27 = 0