SOLUTION: I need to solve this equation using a quadratic formula can you help? 4x^2=2x-11

Question 173854: I need to solve this equation using a quadratic formula can you help?
4x^2=2x-11
Found 2 solutions by Fombitz, solver91311:
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
To use the quadratic formula, get it into the form,

.
.

Now for the quadratic formula,

or approximately,

Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Step 1: Put your equation into standard form:

→

Now you have , , and

So, substitute for a, b, and c into the quadratic formula:

Then do the arithmetic:

Oops! We have a negative number under the radical, so we have to invoke the imaginary number i defined as .

And you need to find the factorization of 172: , so:

Hence: and
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