SOLUTION: Solve the following equation by using the quadratic formula: g^2+8g+16=0

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Question 255471: Solve the following equation by using the quadratic formula: g^2+8g+16=0
Found 2 solutions by jim_thompson5910, richwmiller:
Answer by jim_thompson5910(35256) (Show Source):
You can put this solution on YOUR website!

Start with the given equation.

Notice that the quadratic is in the form of where , , and

Let's use the quadratic formula to solve for "g":

Start with the quadratic formula

Plug in , , and

Square to get .

Multiply to get

Subtract from to get

Multiply and to get .

Take the square root of to get .

or Break up the expression.

or Combine like terms.

or Reduce.

So the solution is

Answer by richwmiller(17219) (Show Source):
You can put this solution on YOUR website!
g^2+8g+16=0

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: -4, -4. Here's your graph: