Use the discriminant to describe the roots of each equation. Then select the best description.

3x2 - 10 = 0

double root
real and rational root
real and irrational root
imaginary root

Respuesta :

Answer:

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]3x^2-10=0[/tex] where a=3, b=0, and c=-10

[tex]b^2-4ac=(0)^2-4(3)(-10)=0+120=120>0)[/tex] has 2 real roots