SOLUTION: I am having troubles with this equations any ideas. Your time is greatly appreciated. Find the smallest positive number such that sin^2(t) + 1.8sin(t)-0.4=0

Question 669344: I am having troubles with this equations any ideas. Your time is greatly appreciated. Find the smallest positive number such that sin^2(t) + 1.8sin(t)-0.4=0
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Find the smallest positive number such that sin^2(t) + 1.8sin(t)-0.4=0
----------
Sub x or sin(t)

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=4.84 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 0.2, -2. Here's your graph:

--------------
sin(t) = -2 Ignore, tho it has a complex number solution.
---
sin(t) = 0.2
t = asin(0.2), you pick degrees or radians

RELATED QUESTIONS
I cant seem to figure this problem out. Any help would be greatly appreciated. Ok here it (answered by Alan3354)

Hi, Here is the problem I am having troubles with. Any help would be greatly... (answered by checkley75)

I cant seem to figure this problem out. Any help would be greatly appreciated. Ok here it (answered by josmiceli)

Hi, I am having issues solving this kind of problems. Any help and suggestion is... (answered by Fombitz)

I am having issues figuring this out because there is no symbol. Any help, and an... (answered by nnhs108)

How do I find the equation of the line passing through the point (1,1) and parallel to... (answered by jim_thompson5910)

Help.... I am having a real hard time with this one. Any help would be greatly... (answered by sarahschober)

Any help would be greatly appreciated. Ok here it is- Find the smallest value of x so... (answered by stanbon)

I am having a very difficult time with quadratic equations. Can someone please help me... (answered by solver91311,josmiceli)