SOLUTION: Find the solutions to: x^2 + 8x=-16 Find the solutions to: x^2-16x= -64 Find the solutions to : x^2+8x+15=0 The sum of the solutions is:

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Question 183494: Find the solutions to: x^2 + 8x=-16
Find the solutions to: x^2-16x= -64
Find the solutions to : x^2+8x+15=0 The sum of the solutions is:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
Find the solutions to: x^2 + 8x=-16
x^2 + 8x + 16 = 0
(x+4)*x+4) = 0
x = -4 a single solution, it's tangent to the x-axis.
Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)
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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Find the solutions to: x^2-16x= -64
Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)
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: 8, 8. Here's your graph:

Similar
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Find the solutions to : x^2+8x+15=0 The sum of the solutions is:
(x+3)*(x+5) = 0
x = -3, x = -5
Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)
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=4 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: -3, -5. Here's your graph:
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