Question
I. x2 + 28x + 96 = 0 II. y2
+ 3y - 70 = 0 In each of the following questions, there are two equations. You have to solve both equations and mark the correct answer.Solution
I. x2 + 28x + 96 = 0 => x2 + 24x + 4x + 96 = 0 => x(x + 24) + 4(x + 24) = 0 => (x + 4) (x + 24) = 0 => x = -4, -24 II. y2 + 3y - 70 = 0 => y2 + 10y - 7y – 70 = 0 => y(y + 10) - 7(y + 10) = 0 => (y + 10) (y - 7) = 0 => y = -10, 7 Hence, the relationship cannot be established between x and y.
(i) 2x² – 12x + 16 = 0
(ii) 2y² – 20y + 48 = 0
I. x2 – 13x + 36 = 0
II. 3y2 – 29y + 18 = 0
Solve: 3x² − 7x − 6 = 0
I. 5x + 2y = 31
II. 3x + 7y = 36
What is the average salary of 10 officers , if a clerk’s salary is Rs. 15,000?
Statement I: The total salary of 10 officers and 5 clerk is Rs....
For what values of k does the equation x² – (k+1)x + k = 0 have two distinct real roots, both greater than 1?
I. x2 + x – 42 = 0
II. y2 + 6y – 27 = 0
I. 25p + 2(2p2 – 1) = 8(p + 5)
II. 8q2 + 35q – 78 = 0
I. x2 + 24x + 143 = 0
II. y2 + 12y + 35 = 0
I. 2x² - 12x + 16 = 0  Â
II. 4y² - 8y - 12 = 0  Â
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