SOLUTION: 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 i

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:

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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