Homework Help: algebra

Posted by Becky on Friday, March 21, 2008 at 4:04pm.

For the following equation, state the value of the discriminant and then describe the nature of the solutions.

-2x^2+3x-7=0

What is the value of the discriminant?

Which one of the statements below is correct?

The equation has two imaginary solutions.

The equation has one real solution.

The equation has two real solutions.

algebra - Reiny, Friday, March 21, 2008 at 5:30pm
first of all, I always have my quadratic equations start with a positive coefficient of the square term, so...

2x^2 - 3x + 7 = 0

disc.= 9 - 4(2)(7) = -47

Depending of the value of this discriminant, your text book should have the basic and most fundamental information about the nature of the roots.
Let us know what you have decided as to the 3 choices.
- algebra - Becky, Friday, March 21, 2008 at 5:37pm
  I would choose a - the equation has two imaginary soluations. Is this right?
  - algebra - Reiny, Friday, March 21, 2008 at 5:39pm
    correct
    If the disc. is negative, you would have two complex roots.
    - algebra - Becky, Friday, March 21, 2008 at 5:39pm
      Thank you.

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