The square of a number n
is less than its 27 times by 180
value of n?
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Answer:
n = 12 or 15
Step-by-step explanation:
Given : The square of a number n is less than its 27 times by 180
=> n² = 27n - 180
=> n² - 27n + 180 = 0
=> n² - 12n - 15n + 180 = 0
=> n(n-12) -15(n-12) = 0
=> (n-12)(n-15) = 0
=> n = 12 or 15
Verification :
12 * 27 - 180
= 324 - 180
= 144
= 12²
27 * 15 - 180
= 405 - 180
= 225
= 15²
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