Question 40286: I'm slowly getting this thanks to you. But just checking to be absolute can you give me a hand here again? You don't know how how much you help me in Algebra, I really appreciate it!
"Use the quadratic formula to solve the equation 1.34a^2-1.1a=-1.02"?
Answer by mbarugel(146)   (Show Source):
You can put this solution on YOUR website! Hello!
First of all, you must rewrite your equation in the "standard" quadratic form, which is:
In your case, the unknown is called 'a'. Therefore, your equation becomes:
Finally, you apply the usual quadratic formula:
| 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 :  .
The discriminant -4.2572 is less than zero. That means that there are no solutions among real numbers.
If you are a student of advanced school algebra and are aware about imaginary numbers, read on.
In the field of imaginary numbers, the square root of -4.2572 is + or -  .
The solution is  , or
Here's your graph:
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As you can see, there are no real solutions to your equations, because you get the square root of a negative number.
I hope this helps!
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