X sits at one of the extreme ends and sits three places away from the one who faces S.P faces the one who sits to the immediate left of S. Only one person sits between P and T, who faces Q. Now, as X either sits extreme right or left end of row 1 or sits extreme right or left end of row 2 so, we have four possible places for X. U sits second to the left of Q and is sitting adjacent to the one who faces R. T is not sitting adjacent to R. case I and III are invalid as R and T are not sitting together. Neither O nor V sits at the extreme ends. V neither faces west nor sits adjacent to U. case IV is rejected as we can’t fix V in case IV. The final arrangement is as follows:
(i) x² – 3x – 40 = 0
(ii) y² + 11y + 30 = 0
I. 2y2 - 15y + 18 = 0
II. 2x2 + 9x - 18 = 0
I. 3x6- 19x3+16=0
II. 9y4- 27y2+20=0
I. 3q² -29q +18 = 0
II. 9p² - 4 = 0
I. 15/(√x)+9/(√x)=11√x
II. (√y)/4 + (5√y)/12 = 1/(√y)
I. 6x² + 37x + 45 = 0
II. 3y² - 11y + 6 = 0
I. 7x² + 52x + 21 = 0
II. 6y² + 7y - 24 = 0
I. 3x2 + 3x - 60 = 0
II. 2y2 - 7y + 5 = 0
Solve the quadratic equations and determine the relation between x and y:
Equation 1: 29x² - 137x + 108 = 0
Equation 2: 31y² - 146y +...
If x^2 - 7x + k = 0 has roots that are equal, what is the value of k?