SOLUTION: solve the equation in the complex number system 8x^2+1=5x

Question 422835: solve the equation in the complex number system
8x^2+1=5x

Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!

This is a quadratic equation so we want one side to be zero. Subtracting 5x from each side we get:

This won't factor so we'll use the Quadratic Formula:

which simplifies as follows:

With a negative number in the square root, we have complex solutions. To write our answers in standard form for complex numbers, a + bi, we start by factoring out -1:

Since this becomes:

Now write the out the long way:
or
Now we split the fractions:
or
which can be written as:
or
These are the complex solutions written in standard form.
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