Respuesta :

Answer: Two distinct real roots.

Step-by-step explanation:

To solve this problem you must find the discriminant of the quadratic equation with the following formula:

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

Given the quadratic equation [tex]0=5x^2+2x-12[/tex], you have that:

[tex]a=5\\b=2\\c=-12[/tex]

When you subsitute values into the formula, you obtain the following result:

[tex]D=(2)^2-4(5)(-12)[/tex]

[tex]D=244[/tex]

Therefore, as [tex]D>0[/tex] then you can conclude that the equation has two distinct real roots.