SOLUTION: I am trying to solve this equation C(x)=2x^2-57x + 26=0 X=50 I have tried putting the 50 in the x variable but am not sure the results C(50)= 2(50)^2 -57(50)+ 26=

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: I am trying to solve this equation C(x)=2x^2-57x + 26=0 X=50 I have tried putting the 50 in the x variable but am not sure the results C(50)= 2(50)^2 -57(50)+ 26=      Log On


   

Question 224186: I am trying to solve this equation
C(x)=2x^2-57x + 26=0
X=50
I have tried putting the 50 in the x variable but am not sure the results
C(50)= 2(50)^2 -57(50)+ 26=
Found 2 solutions by RAY100, Alan3354:
Answer by RAY100(1637) About Me  (Show Source):
You can put this solution on YOUR website!
Looks good, lets review
.
C(x) = 2x^2 -57x +26
.
C(x)= 2(50)^2 -57(50) +26
.
C(50)=2* 2500 - 2850 + 26
.
C(50) = 5000 -2850 +26
.
C(x) = 2176
.
.
To check,,,just do operations in order on std calculator
.
.

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
I am trying to solve this equation
C(x)=2x^2-57x + 26=0
Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)
Quadratic equation ax%5E2%2Bbx%2Bc=0 (in our case 2x%5E2%2B-57x%2B26+=+0) has the following solutons:

x%5B12%5D+=+%28b%2B-sqrt%28+b%5E2-4ac+%29%29%2F2%5Ca

For these solutions to exist, the discriminant b%5E2-4ac should not be a negative number.

First, we need to compute the discriminant b%5E2-4ac: b%5E2-4ac=%28-57%29%5E2-4%2A2%2A26=3041.

Discriminant d=3041 is greater than zero. That means that there are two solutions: +x%5B12%5D+=+%28--57%2B-sqrt%28+3041+%29%29%2F2%5Ca.

x%5B1%5D+=+%28-%28-57%29%2Bsqrt%28+3041+%29%29%2F2%5C2+=+28.0363156789622
x%5B2%5D+=+%28-%28-57%29-sqrt%28+3041+%29%29%2F2%5C2+=+0.463684321037762

Quadratic expression 2x%5E2%2B-57x%2B26 can be factored:
2x%5E2%2B-57x%2B26+=+%28x-28.0363156789622%29%2A%28x-0.463684321037762%29
Again, the answer is: 28.0363156789622, 0.463684321037762. Here's your graph:
graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+2%2Ax%5E2%2B-57%2Ax%2B26+%29

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x = 50
C(50) = 2*2500 - 57*50 + 26
C(50) = 2176