SOLUTION: Hello. Can you please help me? I have to find the solutions of -8x^2 + 4x + 5= 0...I got to the point of -4+-*radical*176/-16....can you show me what to do next, please? th

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Question 378380: Hello. Can you please help me?
I have to find the solutions of -8x^2 + 4x + 5= 0...I got to the point of
-4+-*radical*176/-16....can you show me what to do next, please?
thank you!
Found 2 solutions by Alan3354, stanbon:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
-8x^2 + 4x + 5= 0
Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)
Quadratic equation (in our case ) has the following solutons:



For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=176 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: -0.57915619758885, 1.07915619758885. Here's your graph:

---------------------
Just some minor simplification from where you were:
--------
x = (1 ± sqrt(11))/4

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
find the solutions of
-8x^2 + 4x + 5= 0
------------------
x = [-4 +- sqrt(16 -4*-8*5)]/(-16)
----
x = [-4 +- sqrt(176)]/(-16)
----
x = [-4 +- 4sqrt(11)]/(-16
---
x = [1+sqrt(11)]/4 or x = [1-sqrt(11]/4
=============================================
Cheers,
Stan H.
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