What is the range of all the roots of |x^2 - 3| = x ?
Choose one
A) 4 B) 3 C) 2 D) 1 E) 0
we get 2 quadratic equations here ..   1) x^2-x-3=0 ....... roots 2 , -1   2) x^2+x-3=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=3 or x=1   I guess range is   3-1= 
<gadget id="calculator">  3-1</gadget>
<output>2</output>
2   2
<result>C</result>
What is the range of all the roots of |x^2 - 3| = x ?