What is the range of all the roots of |x^2 - 5| = x ?
Choose the correct choice from the following options:
A) 4  B) 3  C) 2  D) 1  E) 0
we get 2 quadratic equations here ..   1) x^2-x-5=0 ....... roots 2 , -1   2) x^2+x-5=0 ........ roots -2, 1   Inserting each root in given equation , it can be seen that -1 and -2 do not satisfy the equations .   So value of x for given equation .... x=5 or x=1   I guess range is   5-1= 
<gadget id="calculator">  5-1</gadget>
<output>4</output>
4   4
<result>A</result>
What is the range of all the roots of |x^2 - 5| = x ?