SOLUTION: For which values of m does the equation 2x^+2x+m+4=0 have a.two real solutions ? b.one solution ? c.no real solution ?

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: For which values of m does the equation 2x^+2x+m+4=0 have a.two real solutions ? b.one solution ? c.no real solution ?       Log On


   

Question 831159: For which values of m does the equation 2x^+2x+m+4=0 have
a.two real solutions ?
b.one solution ?
c.no real solution ?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Look at the discriminant,
D=2%5E2-4%282%29%28m%2B4%29
D=4-8m-32
D=-8m-28%0D%0Aa%29+Two+real+solutions%2C+%7B%7B%7BD%3E0
-8m-28%3E0
-8m%3E28
m%3C-7%2F2
b) One real solution, D=0
-8m-28=0
m=-7%2F2
c) No real solutions, D%3C0
-8m-28%3C0
m%3E-7%2F2
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Three examples graphed with m=-8(Red), m=-7%2F2(Green) and m=0(Blue).
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