Mathematics, 02.10.2020 23:01 ItzAquaZ1449
The difference of two perfect cubes is 386. If the cube root of the smaller of the two numbers is 7, then the cube root of the larger number is
Answers: 1
, 8, as 
, 27, as 
, and so on...We do not know the numbers, so they are called 
and 
.Since the difference is 386, we have that:
, and now, it is possible to solve for x, and find the cube root of the larger number.
![x = \sqrt[3]{729}](/tpl/images/0786/6924/0e3f4.png)
![{x}^{3} - {y}^{3} = 386...(1) \\ y = 7...(2) \\ plug \: y = 7 \: in \: equation \: (1) \\ {x}^{3} - {7}^{3} = 386 \\ {x}^{3} - 343 = 386 \\ {x}^{3} = 343 + 386 \\ {x}^{3} = 343 + 386 \\ {x}^{3} = 729 \\ x = \sqrt[3]{729} \\ x = 9](/tpl/images/0786/6924/36131.png)
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The difference of two perfect cubes is 386. If the cube root of the smaller of the two numbers is 7,...
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