0
Q:
A) 10 & 12 | B) 10 & 18 |
C) 12 & -18 | D) -12 & 18 |
Answer: D) -12 & 18
Explanation:
Explanation:
Given, difference of the squares of two numbers is 180.
= k2 - l2 - 180
Also, square of the smaller number is 8 times the larger.
= l2 = 8k
Thus, k2 - 8a - 180 = 0
k2 – 18k + 10k - 180 = 0
→ k(k - 18) + 10(k – 18) = 0
= (k + 10)(k – 18) = 0
→ k = -10, 18
Thus, the other number is
324 - 180 = l2
→ Numbers are 12, 18 or -12, 18.