SOLUTION: How many and what type of solutions will the equation have? 4a^2 + 4a + 2 = 0, can you graph this equation? what might it look like? I have the final answer as -1/2 + 1/2i, -1/2

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons -> SOLUTION: How many and what type of solutions will the equation have? 4a^2 + 4a + 2 = 0, can you graph this equation? what might it look like? I have the final answer as -1/2 + 1/2i, -1/2       Log On


   

Question 139129This question is from textbook martin gaye :beginning & intermidiate algebra, 3e
: How many and what type of solutions will the equation have? 4a^2 + 4a + 2 = 0, can you graph this equation? what might it look like? I have the final answer as -1/2 + 1/2i, -1/2 - 1/2i, i don't know if this is correct? This question is from textbook martin gaye :beginning & intermidiate algebra, 3e

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
How many and what type of solutions will the equation have? 4a^2 + 4a + 2 = 0
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Using the quadratic formula you get:
a = [-4 +- sqrt(16 -4*4*2)]/8
a = [-4 +- sqrt(-16)]/8
a = [-4 +- 4i]/8
a = (-1+i)/2 or a = (-1-i)/2

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Cheers,
Stan H.