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:
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