SOLUTION: Can you please show me all the steps on how to find all solutions of this equation? {{{ 36t^4 + 29t^2 - 7 = 0 }}} Thank you so much! If you could give me my answer by 10:00

Question 481490: Can you please show me all the steps on how to find all solutions of this equation?

Thank you so much!
If you could give me my answer by 10:00 PM tonight that would be great!

Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!

Sub x for t^2

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=1849 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 0.194444444444444, -1. Here's your graph:

--------------
x = t^2 = 7/36
t = +sqrt(7)/6, -sqrt(7)/6
---------
x = t^2 = -1
t = -i, i

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