Question

Select ALL the correct answers.

Which of the following statements are true about the equation below? x^2-6x+2=0

Answer 1

what are the choices for this question?

Answer 2

The statement that is true of the equation is A . The equation has two real roots .

What is true of the equation ?

The discriminant of a quadratic equation is the part of the quadratic formula under the radical (b ² - 4ac ). In this case, the discriminant is :

( - 6 ) ² - 4 x 1 x 2 = 36 - 8

= 28

When the discriminant is positive , it has a real square root, and the quadratic formula reduces to two real solutions. Since 28 is a positive number, the equation has two real roots .

The options for the question are:

• The equation has two real roots.
• The equation has no real roots.
• The equation has one real root.
• The equation has complex roots.