under root x upon x minus 3 + under root x minus 3 upon x is equal to 5 upon 2
Answers
Given: The term √(x/x-3) + √(x-3/x) = 5/2
To find: The value of x.
Solution:
- Now we have given the term: √(x/x-3) + √(x-3/x) = 5/2
- Let √(x/x-3) = t, then √(x-3/x) = 1/t, then:
t + 1/t = 5/2
t² + 1 = 5t/2
2t² + 2 = 5t
2t² - 5t + 2 = 0
2t(t-2) - 1(t-2) = 0
(2t-1)(t-2) = 0
t = 1/2 , t = 2
- Re substituting it, we get:
√(x/x-3) = 1/2 , √(x-3/x) = 2
- Squaring both sides, we get:
x/x-3 = 1/4 , x-3/x = 4
4x = x - 3 , x-3 = 4x
3x = -3 , -3 = 3x
x = -1 , x = -1
Answer :
So the value of x is -1.
Answer:
Given: The term √(x/x-3) + √(x-3/x) = 5/2
To find: The value of x.
Solution:
Now we have given the term: √(x/x-3) + √(x-3/x) = 5/2
Let √(x/x-3) = t, then √(x-3/x) = 1/t, then:
t + 1/t = 5/2
t² + 1 = 5t/2
2t² + 2 = 5t
2t² - 5t + 2 = 0
2t(t-2) - 1(t-2) = 0
(2t-1)(t-2) = 0
t = 1/2 , t = 2
Re substituting it, we get:
√(x/x-3) = 1/2 , √(x-3/x) = 2
Squaring both sides, we get:
x/x-3 = 1/4 , x-3/x = 4
4x = x - 3 , x-3 = 4x
3x = -3 , -3 = 3x
x = -1 , x = -1
Answer :
So the value of x is -1.
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