The value of is (8 + k), where k = ?
2019
The value of
is (8 + k), where k = ?
Answer: C. 0.721 — Let a = 5.169 and b = 4 × 0.888 = 3.552. The numerator becomes a³ + b³ and the denominator is a² - ab + b². Using the identity a³ + b³ = (a+b)(a² - ab + b²),…
- A.
0.656
- B.
0.388
- C.
0.721
- D.
0.129
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Correct answer: C
Let a = 5.169 and b = 4 × 0.888 = 3.552.
The numerator becomes a³ + b³ and the denominator is a² - ab + b².
Using the identity a³ + b³ = (a+b)(a² - ab + b²), the expression simplifies to a + b.
Substituting values: 5.169 + 3.552 = 8.721.
Since the value is 8 + k, we have 8.721 = 8 + k, so k = 0.721.
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