SOLUTION: Find k such that the equation 6x^2 + 6x + k =0 has Two equal real roots, two distinct real roots, and no real roots.
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Question 1085127: Find k such that the equation 6x^2 + 6x + k =0 has Two equal real roots, two distinct real roots, and no real roots.
Found 3 solutions by MathLover1, josmiceli, MathTherapy:
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!
->, , and
if the discriminant , the equation has two distinct real roots
so, we can try which is less than
if the discriminant, the equation has two equal real roots
if the discriminant , there are no real solutions
if ->
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Use quadratic formula
----------------
-------------------------------------------
(a)
2 equal real roots
must be zero.
The 2 equal real roots are:
----------------------
(b)
2 distinct real roots
must be positive
I'll say
The roots are:
------------------------
No real roots
must be negative
I'll say
The roots are:
-----------------------
Answer by MathTherapy(10552) (Show Source): You can put this solution on YOUR website!
Find k such that the equation 6x^2 + 6x + k =0 has Two equal real roots, two distinct real roots, and no real roots.
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