Theory of quadratic equations

The discriminant of ax² + bx + c = 0 is:

• 1 -b / 2a
• 2 4ac
• 3 b² + 4ac
• 4 b² - 4ac

If the discriminant is negative, the roots are:

• 1 Complex
• 2 Real and distinct
• 3 Rational
• 4 Real and equal

The sum of the roots of x² - 7x + 12 = 0 is:

• 1 -7
• 2 -12
• 3 7
• 4 12

The product of the roots of x² - 7x + 12 = 0 is:

• 1 -12
• 2 7
• 3 -7
• 4 12

The discriminant of x² - 4x + 4 = 0 is:

• 1 4
• 2 16
• 3 -4
• 4 0

The roots of x² + 1 = 0 are:

• 1 Real and equal
• 2 Complex
• 3 Real and distinct
• 4 Rational

If the discriminant is a positive perfect square, the roots are:

• 1 Rational and unequal
• 2 Complex
• 3 Irrational
• 4 Equal

For x² - 6x + 8 = 0 the sum of the roots is:

• 1 -6
• 2 6
• 3 8
• 4 -8

The discriminant of x² + 5x + 6 = 0 is:

• 1 49
• 2 1
• 3 25
• 4 -1