Solve ax^2 + ????x + c = 0.


Answer:

See solution and explanation below.

Step-by-step explanation:

Assuming that on this case our equation is this one:

 ax^2 + bx + c=0

We can use the quadratic formula in order to solve this problem. And the quadratic formula is given by:

 x= \frac{-b \pm \sqrt{b^2 -4ac}}{2a}

If the discriminant is >0  b^2 -4ac >0 we have two real solutions

And the possible two solutions are:

 x_1= \frac{-b - \sqrt{b^2 -4ac}}{2a}

 x_2= \frac{-b + \sqrt{b^2 -4ac}}{2a}

If the discriminant is equal to 0.  b^2 -4ac =0 we have just one real solution:

 x = \frac{-b}{2a}

If the discriminant is lower than 0.  b^2 -4ac we have two imaginaty solutions.

 x_1= \frac{-b - \sqrt{b^2 -4ac}i}{2a}

 x_2= \frac{-b + \sqrt{b^2 -4ac}i}{2a}


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