*q). The difference between square of two numbers is 120. The square of smaller number is twice the greater number. Find the numbers....??*
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Answered by
0
Answer:
your question is wrong because that between the square numbers there is only odd numbers
Answered by
0
Answer:
12, 2√6.
Step-by-step explanation:
Let x and y be the two numbers
x² - y² = 120 ------------> [1]
y² = 2x ------------> [2]
Substitute [2] in [1]
x² - 2x = 120
=> x² - 2x - 120 = 0
=> x² - 12x + 10x - 120 = 0
=> x(x - 12) + 10(x - 12) = 0
=> (x - 12) (x + 10) = 0
=> X = 12 or - 10
Thus one number x = 12.
The other number y = √2x = √24 = 2√6.
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