Question 1126098: For what values of m has the equation x^2 - 2mx +8m -15 =0
a) one root?
b) no roots?
c) two roots?
Answer by MathLover1(20850)   (Show Source):
You can put this solution on YOUR website! 
..-> compare to  and you see that
 ,  , and 
use discriminant to find for what values of m has the equation will have certain number of solutions
discriminant is  (portion of the quadratic formula 
a) one root?
if  there is exactly one root
....plug in , , and
 ...simpliy
 .
 or 
check:
check:
b) no roots?
if  there are no Real roots
....plug in , , and
 or 
check: if , let say 
check:if , let say 
c) two roots?
if  there are two roots
....plug in , , and
 or 
check: if , let say 
check:if , let say 
|
|
|
