SOLUTION: please help solve 5b^2 = 18b -35

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Question 556836: please help solve 5b^2 = 18b -35
Answer by JBarnum(2146) About Me  (Show Source):
You can put this solution on YOUR website!
5b%5E2-18b%2B35=0
Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation ab%5E2%2Bbb%2Bc=0 (in our case 5b%5E2%2B-18b%2B35+=+0) has the following solutons:

b%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=%28-18%29%5E2-4%2A5%2A35=-376.

The discriminant -376 is less than zero. That means that there are no solutions among real numbers.

If you are a student of advanced school algebra and are aware about imaginary numbers, read on.


In the field of imaginary numbers, the square root of -376 is + or - sqrt%28+376%29+=+19.3907194296653.

The solution is

Here's your graph:
graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+5%2Ax%5E2%2B-18%2Ax%2B35+%29