please solve the equation fast with explanation
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THE ANSWER IS the above
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Answer:
the values of x are 4 , - 9
Step-by-step explanation:
the given equation can be written as
√x/√(x - 5) + √(x - 5)/√x
now
on solving it
we have
( x + (x - 5)) /√x(x-5)
2x - 5 = √x(x-5) * 13/6
12x - 30 = 13(√x(x-5)
squaring both sides
144x² + 900 - 720x = 169(x² - 5x)
169x² - 144x² - 845x - 900 + 720x = 0
25x² + 125x - 900 = 0
x² + 5x - 36 = 0
x² + 9x - 4x - 36 = 0
x(x + 9) - 4(x + 9) = 0
(x-4)*(x+9)=0
thus
x = 4 , -9
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