for what values of c will the equation x^2 + c= 0 have two distinct real roots

for what values of c will the equation x^2 + c= 0 have two distinct real roots

Answers
how do you find it?
zainab313
05 May 2012
I think if you were to try a few numbers for c you would discover what c needs to be. What happens if c=1? then try c= -1. Another illuminating exercise would be to draw a graph of x^2+c=y and see if the line crosses the y axis, (i.e. when y=0).
ianmoth
06 May 2012
The easiest way to find the range of value c is to test x = 0, 1, 2, 3..
beaddve
08 May 2012
if x=0 then c=0; if x=1 then c=-1;
beaddve
08 May 2012
as you see, when the x value is getting bigger , c is getting smaller; when x value is -negative, c is also getting smaller because (-1)^2 = 1 and (-2)^3 = 9, so the range of value c would be negative numbers all the time.
beaddve
08 May 2012
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