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algebra

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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 - ,

    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 - ,

    I would choose a - the equation has two imaginary soluations. Is this right?

  • algebra - ,

    correct
    If the disc. is negative, you would have two complex roots.

  • algebra - ,

    Thank you.

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