Question
If 24 times a number is subtracted from the square of
the number and then 144 is added to the result, then the result is zero. Find the L.C.M of the number and 32.Solution
Let the number be 'x' According to the question, x2 - 24x + 144 = 0 Or, x2 - 12x - 12x + 144 = 0 Or, x(x - 12) - 12(x - 12) = 0 Or, (x - 12)(x - 12) = 0 So, x = 12 L.C.M of 12 and 32 = 96
I. 24x² - 58x + 23 = 0
II. 20y² + 24y – 65 = 0
I. 4x2 + 25x + 36 =0
II. 2y2 + 5y + 3 = 0
I. 7p + 8q = 80
II. 9p – 5q = 57
I. 2x² - 7x + 3 = 0
II. 8y² - 14y + 5 = 0
In the question, two equations I and II are given. You have to solve both the equations to establish the correct relation between x and y.
I. 2x<...
I. 20y² - 13y + 2 = 0
II. 6x² - 25x + 14 = 0
I. 35 y² + 58 y + 24 = 0
II. 21 x² + 37 x + 12 = 0
I. 2x2 – 5x - 12 = 0
II. y2 – 11y + 30 = 0
I. 5x² - 24 x + 28 = 0  Â
II. 4y² - 8 y - 12= 0  Â
Solve the quadratic equations and determine the relation between x and y:
Equation 1: 19x² - 88x + 100 = 0
Equation 2: 17y² - 79y + 90...
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