Question

If the discriminant of a quadratic equation is greater than zero, which of the following is true of the equation?

A. It has two complex solutions.
B. It has one real solution.
C. It has two real solutions.

Answer 1

B is one solution not two im confused which one is it @latinC

Answer 2

a positive discriminate has two real solutions (C)

Answer 3

my bad

Answer 4

The discriminant is what's inside the square root, \[b^2 - 4ac\].
Remember that the discriminant is inside the square root, so if you plug numbers in from the given equation, it will tell you if it has two, zero, or no real solutions due to the nature of the square root.

Two solutions: If discriminant is positive. The quadratic equation is -b +/- the square root of the discriminant over 2a, so there will be two solutions due to the +/- , because the square root of a positive number will yield a numerical value,

One solution: if discriminant is 0. Square root of 0 is 0, so -b +/- 0 will be -b.

No solution: if discriminant is negative. Square root of a negative number is undefined, so there will be complex roots.