If the discriminant is positive how many solutions are there

1 Answer

  • Answer:

    [tex]b^2-4ac>0[/tex] yields 2 real roots

    Step-by-step explanation:

    To find the number of real roots for a quadratic, we apply the discriminate. The discriminate is the inside portion of the square root from the quadratic formula.

    • [tex]b^2-4ac>0[/tex] yields 2 real roots

    • [tex]b^2-4ac=0[/tex] yields 1 real root

    • [tx]b^2-4ac<0[/tex] yields no real roots


    [tex]4x^2-7x+2=0[/tex] where a=4, b=-7, and c=2


    It has 2 real roots