(A)0                                                                                (B)1                                                                              (C)2                                                                            (D)4

Asked by Yash Sahu | 10th Apr, 2014, 03:55: PM

Expert Answer:

Let us consider the given equation square root of x squared plus 16 end root equals x squared minus 4
Squaring both the sides of the equation, we have,
x squared plus 16 equals open parentheses x squared minus 4 close parentheses squared rightwards double arrow x squared plus 16 equals x to the power of 4 minus 8 x squared plus 16 rightwards double arrow 8 x squared equals 0 rightwards double arrow x equals 0 space left parenthesis t w i c e right parenthesis
Thus, x=0 is a solution and hence the number of solutions is one.

Answered by  | 11th Apr, 2014, 08:54: AM

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