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3m^2-13m+20=0 what is the discriminant? use the discriminant to determine the number and type of solutions of the given equation ,3m^2-13m+20=0 is this equation one rational number, two irrational numbers, two nonreal complex numbers ,two rational numbers? The given equation ,3m^2- 13m+20=0, can be solved using the quadratic formula or zero-favtor property?

Respuesta :

Answer:

The discriminant is -71

The discriminant is less than zero, the equation has no real roots

Explanation:

Given the equation:

[tex]3m^2-13m+20=0[/tex]

The discriminant is given as:

[tex]D=b^2-4ac[/tex]

where a = 3, b = -13, c = 20

[tex]\begin{gathered} D=(-13)^2-4(3)(20) \\ \\ =169-240 \\ =-71 \end{gathered}[/tex]

The discriminant is less than zero, the equation has no real roots