SOLUTION: 1) 2x^2-6x+1=0 2) 4x^2-6x-1=0

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Question 82198: 1) 2x^2-6x+1=0

2) 4x^2-6x-1=0
Found 2 solutions by jim_thompson5910, checkley75:
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
1)
Solved by pluggable solver: SOLVE quadratic equation with variable
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=28 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 2.8228756555323, 0.177124344467705. Here's your graph:


2)
Solved by pluggable solver: SOLVE quadratic equation with variable
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=52 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 1.651387818866, -0.151387818865997. Here's your graph:
Answer by checkley75(3666)   (Show Source): You can put this solution on YOUR website!
2x^2-6x+1=0
using the quadratic equation we get:

x=(6+-sqrt[-6^2-4*2*1[)/2*2
x=(6+-sqrt36-8])/4
x=(6+-sqrt28)/4
x=(6+-5.29)/4
x=(6+5.29)/4
x=11.29/4
x=2.8225 answer.
x=(6-5.29)/4
x=.71/4
x=.1775 answer.
--------------------------------------
4x^2-6x+1=0
x=(6+-sqrt[-6^2-4*4*1])/2*4
x=(6+-sqrt[36-16])/8
x=(6+-sqrt20)/8
x=(6+-4.47)/8
x=(6+4.47)/8
x=10.47/8
x=1.309 answer.
x=(6-4.47)/8
x=1.53/8
x=.19 answer.
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