SOLUTION: Not understanding this: Quadratic Coefficients: a = 1, b = 8, c = 15 Looking for "Solutions" x1=__________; x2 =__________ Can you explain?

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Question 148758: Not understanding this:
Quadratic Coefficients: a = 1, b = 8, c = 15 Looking for "Solutions" x1=__________; x2 =__________
Can you explain?
Found 3 solutions by jim_thompson5910, checkley77, nerdybill:
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Simply use the coefficients in the Quadratic Formula:


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 Simplify.


So our answers are or (note: the order does not matter)


Answer by checkley77(12844)   (Show Source): You can put this solution on YOUR website!
x^2+8x+15=0 (if a,b & c are positive integers)
(x+5)(x+3)=0
x+5=0
x=-5 answer.
x+3=0
x=-3 answer.
Answer by nerdybill(7384)   (Show Source): You can put this solution on YOUR website!
A "quadratic" equation comes in the standard form of:
ax^2 + bx + c = 0
where a,b, and c are the coefficients.
.
What they are asking you to do is plug it into the "quadratic formula" and solve for solutions of 'x'.
.
In your problem, the coefficients are:
a = 1, b = 8, c = 15
.
solutions: -3 and -5
.
Details below:
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=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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