college algebra I - vocab (unit #01 test)

value of discriminant (0)

1 real number (rational) solution

value of discriminant (negative)

2 complex (imaginary) solutions

value of discriminant (positive and a perfect square)

2 real (rational) solutions

value of discriminant (positive and not a perfect square)

2 real (irrational) solutions. you HAVE to keep the square root

completing the square formula

x² + bx + c = o

quadratic formula

-b +- square root of b² - 4ac all over 2a

powers of i (i¹ )

i

powers of i (i² )

-1

powers of i (i³ )

-i

powers of i (i⁴ )

1

identity equation

true for all real numbers

conditional equations

true for only some real numbers

inconsistent/contradiction equations

never true (no solution)