SOLUTION: 1/2x^2 + 5x + 25/2 = 0 I do not even know where to begin. I emailed my teacher but have yet to hear back from her.

Question 704820: 1/2x^2 + 5x + 25/2 = 0
I do not even know where to begin. I emailed my teacher but have yet to hear back from her.
Found 2 solutions by nerdybill, Stitch:
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
1/2x^2 + 5x + 25/2 = 0
multiplying both sides by 2:
x^2 + 10x + 25 = 0
now, you can easily factor the left:
(x+5)(x+5) = 0
x = {-5}
Answer by Stitch(470) (Show Source): You can put this solution on YOUR website!
Given:
You can use the quadratic equation as the equation stands or it may be easier if you multiply everything by 2 to remove the denominators.

Simplify

Simplify

Now you can quadratic equation.

Solved by pluggable solver: SOLVE quadratic equation with variable

Quadratic equation (in our case ) has the following solutons:

For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=0 is zero! That means that there is only one solution: .
Expression can be factored:

Again, the answer is: -5, -5. Here's your graph:

X = -5 & -5
It sounds redundant but since X is raised to the second power in the equation, you will have two answers.

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