The value of x for which the equation $$\sqrt{4x - 9}$$ + $$\sqrt{4x + 9}$$ = 5 + $$\sqrt{7}$$ will be satisfied, is:
This question can be solved with the help of options easily.Â
We can say that 4x - 9 $$\geq$$ 0. Hence x $$\geq$$ 2.25. Now we can check option C and D.
Option C:Â $$\sqrt{4x - 9}$$ + $$\sqrt{4x + 9}$$ =Â $$\sqrt{3}$$ + $$\sqrt{21}$$ Which is not same as what we have in the question. Hence, this is not the correct answer.Â
Option D:Â $$\sqrt{4x - 9}$$ + $$\sqrt{4x + 9}$$ =Â $$\sqrt{7}$$ + $$\sqrt{25}$$ = 5 + $$\sqrt{7}$$. Which is the same as what we have in the question. Hence, we can say that option D the correct answer.Â
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