pls tell me the answers of ques. 3 to 6
Answers
Step-by-step explanation:
Answer is in above pics
Given : x - 1/x = 3 , x ≠ 0 , 1/(x + 4) - 1/(x - 7) = 11/30 x ≠ -4 , 7
To find : Value of x
Solution:
x - 1/x = 3
=> x² - 1 = 3x
=> x² - 3x - 1 = 0
=> x = ( 3 ± √13)/2
1/(x + 4) - 1/(x - 7) = 11/30
=> 30(x - 7) - 30(x + 4) = 11 (x + 4)(x - 7)
=> -330 = 11 ( x² - 3x - 28)
=> -30 = x² - 3x - 28
=> x² - 3x + 2 = 0
=> x² - x - 2x + 2 = 0
=> (x -2)(x - 1) =0
x = 2 , 1
1/(x - 3) + 1/(x + 5) = 1/3
=> 3(x + 5) + 3(x - 3) = (x - 3)(x + 5)
=> 6x + 6 = x² + 2x - 15
=> x² - 4x - 21 = 0
=> x² -7x +3x - 21 = 0
=> x(x - 7) + 3(x - 7) = 0
=> (x + 3)(x - 7) = 0
=> x = 7
present age = 7 years
post other Questions separately one by one
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