SOLUTION: For what values of m has the equation x^2 - 2mx +8m -15 =0
a) one root?
b) no roots?
c) two roots?
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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
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