Question

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

Answer 1

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.

• $b^2-4ac>0$ yields 2 real roots

• $b^2-4ac=0$ yields 1 real root

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

$3x^2-10=0$ where a=3, b=0, and c=-10

$b^2-4ac=(0)^2-4(3)(-10)=0+120=120>0)$ has 2 real roots