SOLUTION: Hello, Please help me with this question Solve the following equation for x and write answer in form of a + bi with simplified surds. 2x^2 - 4x + 3 = 0 Thank You,

Algebra ->  Trigonometry-basics -> SOLUTION: Hello, Please help me with this question Solve the following equation for x and write answer in form of a + bi with simplified surds. 2x^2 - 4x + 3 = 0 Thank You,       Log On


   

Question 750028: Hello, Please help me with this question
Solve the following equation for x and write answer in form of a + bi with simplified surds.
2x^2 - 4x + 3 = 0
Thank You,
Answer by tommyt3rd(5050) About Me  (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation ax%5E2%2Bbx%2Bc=0 (in our case 2x%5E2%2B-4x%2B3+=+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=%28-4%29%5E2-4%2A2%2A3=-8.

The discriminant -8 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 -8 is + or - sqrt%28+8%29+=+2.82842712474619.

The solution is

Here's your graph:
graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+2%2Ax%5E2%2B-4%2Ax%2B3+%29