SOLUTION: � Solve the following equation by quadratic formula: 36x^2+2x-6=0 Give the answers in ascending order (keep three significant digits): x: ?

Question 1072435: �
Solve the following equation by quadratic formula:
36x^2+2x-6=0
Give the answers in ascending order (keep three significant digits):
x: ?

Found 2 solutions by rothauserc, Alan3354:
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
36x^2 +2x -6 = 0
:
quadratic formula is
:
x = (-b + or - square root(b^2 - 4ac)) / 2a
:
x = (-2 + square root(2^2 - 4 * 36 * (-6)) / (2 * 36) = 0.381
:
x = (-2 - square root(2^2 - 4 * 36 * (-6)) / (2 * 36) = -0.437
:
********************
x: = -0.437 0.381
********************
:

Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
36x^2+2x-6=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=868 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 0.38141444062934, -0.436969996184895. Here's your graph:

======================
The solver says it can be factored, but it can't, and what's shown are not factors.
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