SOLUTION: The Question: -10,000+8,000/(1+x)+5,625/(1+x)^2=0 Thank you

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Question 263761: The Question: -10,000+8,000/(1+x)+5,625/(1+x)^2=0
Thank you
Answer by JBarnum(2146)   (Show Source): You can put this solution on YOUR website!
The Question: -10,000+8,000/(1+x)+5,625/(1+x)^2=0
dont go bonkers when u look at all the numbers its the same basic of equations
im going to move them into the normal seen order {Ax^2+Bx+C=0}
-10000 + 8000/(1+x)+ 5625/((1+x)^2)= 0
First multiply everything by ((1+x)(1+x))
-10000((1+x)(1+x)) + 8000(1+x) + 5625 = 0
-10000(x^2+2x+1) + 8000x + 8000 + 5625 = 0
-10000x^2 + -20000x -10000 + 8000x + 13625 = 0
-10000x^2 + -12000x + 3625 = 0 Multiply by a -1
10000x^2 + 12000x - 3625 = 0 Divide by common factor 125
80x^2 + 96x - 29 = 0 now you have a more simplified equation to solve
A=80 B=96 C=-29
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=18496 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 0.25, -1.45. Here's your graph:
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