Question
If x^2 - 7x + k = 0 has roots that are equal, what is
the value of k?Solution
For equal roots, the discriminant must be zero: b^2 - 4ac = 0 → (-7)^2 - 4(1)(k) = 0 49 - 4k = 0 4k = 49 k = 49/4 = 12.25.
I. x2 + x – 42 = 0
II. y2 + 6y – 27 = 0
In the question, two equations I and II are given. You have to solve both the equations to establish the correct relation between 'p' and 'q' and choose...
I. x= √(20+ √(20+ √(20+ √(20…………….∞)) ) )
II. y= √(5√(5√(5√(5……….∞)) ) )
...I. x² - 208 = 233
II. y² + 47 - 371 = 0
I. 5q = 7p + 21
II. 11q + 4p + 109 = 0
Quantity I: The cash price of a notebook is Rs. 100 but is can also be purchased on 11 monthly equal instalments of Rs. 10 each. Find rate of S.I.?
...Solve the quadratic equations and determine the relation between x and y:
Equation 1: x² - 50x + 600 = 0
Equation 2: y² - 51y + 630 = 0
I. x2 + (9x/2) + (7/2) = - (3/2)
II. y2 + 16y + 63 = 0
I. 5x2 – 7x – 6 =0
II. 2y2 – 5y – 7 =0
I. 10p² + 21p + 8 = 0
II. 5q² + 19q + 18 = 0
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