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Given 2x - 1/2x = 4.
Now,
(1)
On squaring both sides, we get
(2x - 1/2x)^2 = (4)^2
4x^2 + 1/4x^2 - 2 * 2x * 1/2x = 16
4x^2 + 1/4x^2 - 2 = 16
4x^2 + 1/4x^2 = 16 + 2
4x^2 + 1/4x^2 = 18 .
(ii).
On cubing both sides, we get
(2x - 1/2x)^3 = (4)^3
8x^3 - 1/8x^3 - 3 * 2x * 1/2x(2x - 1/2x) = 64
8x^3 - 1/8x^3 - 3(4) = 64
8x^3 - 1/8x^3 - 12 = 64
8x^3 - 1/8x^3 = 64 + 12
8x^3 - 1/8x^3 = 76.
Hope this helps!
Now,
(1)
On squaring both sides, we get
(2x - 1/2x)^2 = (4)^2
4x^2 + 1/4x^2 - 2 * 2x * 1/2x = 16
4x^2 + 1/4x^2 - 2 = 16
4x^2 + 1/4x^2 = 16 + 2
4x^2 + 1/4x^2 = 18 .
(ii).
On cubing both sides, we get
(2x - 1/2x)^3 = (4)^3
8x^3 - 1/8x^3 - 3 * 2x * 1/2x(2x - 1/2x) = 64
8x^3 - 1/8x^3 - 3(4) = 64
8x^3 - 1/8x^3 - 12 = 64
8x^3 - 1/8x^3 = 64 + 12
8x^3 - 1/8x^3 = 76.
Hope this helps!
Answered by
1
Hi,
Please see the attached file!
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Please see the attached file!
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