SOLUTION: 4x^2+8x+5=0

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Question 600338: 4x^2+8x+5=0
Found 2 solutions by jim_thompson5910, stanbon:
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!

Start with the given equation.


Notice we have a quadratic equation in the form of where , , and


Let's use the quadratic formula to solve for x


Start with the quadratic formula


Plug in , , and


Square to get .


Multiply to get


Subtract from to get


Multiply and to get .


Take the square root of to get .


or Break up the expression.


or Reduce.


So the answers are or


Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
4x^2+8x+5=0
----
x = [-8 +- sqrt(64-4*4*5)]/8
---
x = [-8 +- sqrt(-16)]/8
-----
x = [-8 +- 4i]/8
---
x = -1+(i/2) or x = -1-(i/2)
================================
Cheers,
Stan H.
================

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