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Use the discriminant to determine whether the following equations have solutions that are: two different rational solutions; two different irrational solutions; exactly one rational solution; or two different imaginary solutions. x^2=3x-6

  • math - ,

    x^2=3x-6

    x^2-3x+6=0

    In quadratic equation y=ax^2+bx+c
    discriminate is D=b^2-4ac

    In your case a=1 b= -3 c=6

    D=b^2-4ac=(-3)^2-4*1*6=9-24= -15

    When discriminante is negative quadratic have two imaginare solutions.

    If you want to know that solutions in google type:

    quadratic equation online

    When you see list of results click on:

    webgraphingcom/quadraticequation_quadraticformula.jsp

    When page be open in rectacangle type:

    x^2-3x+6=0

    and click option solve it

    You will see solution step-by-step

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