Saved Bookmarks
| 1. |
6. The diagonal of a rectangulal lieluside is 30 metres more than the shorter side, find the sides of the iciuThe difference of squares of two numbers is 180. The square of the smaller numbertimes the larger number. Find the two numbers.7.Ifth need had heen 5 km/h more, it w |
|
Answer» Let the larger number = xThen the square of the smaller number = 8 times the larger number = 8xand the square of the larger numbe r = xAccording to the question,x - 8x = 180=> x - 8x - 180 = 0=> x - 18x + 10x - 180 = 0=> x(x - 18) + 10(x - 18) = 0=> (x - 18) (x + 10) = 0=> x - 18 = 0 or x + 10 = 0=> x = 18 or x = -10Thus, the larger number = 18 or -10Then, the square of the smaller number = 8(18) or 8(-10)= 144 or -80The square of a number can't be negative, so, the square of smaller number = 144Hence, the smaller number = sqrt(144) = 12The numbers are 12 and 18 |
|