What is the range of all the roots of |x^2 - 6| = x ?
Pick one.
A) 4
B) 3
C) 2
D) 1
E) 5
we get 2 quadratic equations here ..   1) x^2-x-2=0 ....... roots 2 , -1   2) x^2+x-2=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 .... x2+ -2= 
<gadget id="calculator">2+ -2</gadget>
<output>0</output>
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=6 or x=1   I guess range is   6-1= 
<gadget id="calculator">  6-1</gadget>
<output>5</output>
5   5
<result>E</result>
What is the range of all the roots of |x^2 - 6| = x ?