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Answer:
Heyy mate here is ur answer
Step-by-step explanation:
14-a.4/3
13-c. 64
Answered by
0
Answer:
14. a. 4/3
15. d. 2
Step-by-step explanation:
14. (√48 + √32) ÷ (√27 + √18)
Let's split it up one by one.
- √48 = ( √4 × 12) = (2√12) = (2√4 × 3)
∴ √48 = 4√3
- √32 = (√4 × 8) = (2√4 × 2)
∴ √32 = 4√2
- √27 = (√9 × 3)
∴ √27 = 3√3
- √18 = (√9 × 2)
∴ √18 = 3√2
Let's substitute the values:
(4√3 + 4√2) ÷ (3√3 + 3√2)
= 4[√3 + √2] ÷ 3[√3 + √2]
= a.4/3
15. x + 1/x = 2 → 1
x³ + 1/x³ = ?
x² + 1
--------- = 2
x
x² + 1 = 2x
x² - 2x + 1 = 0
Factorising,
p = 1, sum = -2 (-1-1=-2)
x² - x - x + 1 = 0
x(x - 1) - 1(x - 1) = 0
⇒ (x - 1)(x - 1) = 0
∴ x = 1
Substituting x,
1³ + 1/1³
= 1 + 1
= d. 2
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