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Let the speed of the boat in still water be B km/h and the speed of the stream be S km/h. From the given data: Downstream speed = B + S = 80 km / 4 hours = 20 km/h. Upstream speed = B - S = 80 km / 8 hours = 10 km/h. Solving these two equations: B + S = 20 and B - S = 10. Adding the two, 2B = 30 → B = 15 km/h. Substituting B = 15 into B + S = 20: S = 5 km/h. Now, the new speed of the boat in still water is 1.5 * 15 = 22.5 km/h. The new downstream speed = 22.5 + 5 = 27.5 km/h. Time to travel 120 km downstream = 120 / 27.5 ≈ 4.36 hours.
I. x − √2401 = 0
II. y2 − 2401 = 0
I. 2x2 + 3x - 9 = 0
II. 3y2 - y - 10 = 0
Solve the quadratic equations and determine the relation between x and y:
Equation 1: 3x2 + 6√7x - 315 = 0
E...
I. 117x² + 250x + 117 = 0
II. 54y² -123y + 65 = 0
I. x2 + 91 = 20x
II. 10y2 - 29y + 21 = 0
I. 3x2 - 16x - 12 = 0
II. 2y2 + 11y + 9 = 0
I. 5x² -14x + 8 = 0
II. 2y² + 17y + 36 = 0
I. 6 y² + 11 y – 7= 0
II. 21 x² + 5 x – 6 = 0
I. 2x² - 9x + 10 = 0
II. 3y² + 11y + 6 = 0
The roots of the equations x2 + 16x + 63 = 0