paigebmaxwell6062
16.04.2021 •
Chemistry
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(Chp.3)
(40) The difference of squares of two numbers is 180. The square of the smaller number is 8 times the larger number. Find
the two numbers.
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Ответ:
The difference of squares of two numbers is 180. The square of the smaller number is 8 times the larger number. Find the two numbers.
Solution:-Let the larger number be x
And, the square of the smaller number be 8x
ATQ ,x² − 8x = 180
⇒ x² − 8x − 180 = 0
⇒ x² − (18 − 10)x − 180 = 0
⇒ x² − 18x + 10x − 180 = 0
⇒ x (x − 18) + 10(x − 18) = 0
⇒ (x − 18) (x + 10) = 0
⇒ x − 18 = 0, x + 10 = 0
⇒ x = 18, x = −10
⇒ x = −10, 18
Either, x = −10 and x = 18
x = 18 (Positive value)
Now, the square of the smaller number = 8x = 8 × 18 = 144
So, the square of the smaller number = = 12
The two numbers are 18 and 12. [Answer]Ответ:
2. chlorine
3. Copper??
4. Isotope
5. sodium, magnesium, aluminum, silicon, phosphorus, sulfur, or argon
6. Oganesson
7. Hydrogen
Hope these are right!