Quadratic Formula

What does 'a' represent in the quadratic equation ax² + bx + c = 0?

• The constant term in the equation

• The coefficient of x², which determines the direction and width of the parabola

• The coefficient of x, which affects the slope of the line

• The variable representing the roots of the equation

What does a positive discriminant indicate?

• There are no real roots.

• There is one real root.

• There are two distinct real roots.

• The roots are complex conjugates.

What is the Quadratic Formula?

• x = (-b ± √(b² - 4ac)) / (2a)

• x = (b ± √(b² + 4ac)) / (2a)

• x = (-b ± √(b² + 4ac)) / (2a)

• x = (b ± √(b² - 4ac)) / (2a)

What does 'c' represent in the quadratic equation ax² + bx + c = 0?

• The coefficient of x

• The constant term, which is the y-intercept of the parabola.

• The leading coefficient of the quadratic term

• The value of x when y = 0

Find the value of x using the quadratic formula, if a=1, b=10, c=21.

• x = -3, -7

• x = -2, -8

• x = -1, -9

• x = -4, -6

What does a zero discriminant indicate?

• There are two distinct real roots.

• There is exactly one real root (a repeated root).

• There are no real roots, only complex roots.

• The roots are imaginary and cannot be calculated.

Find the value of x using the quadratic formula, if a=1, b=4, c=3.

• x = -1, -3

• x = -2, -1

• x = 1, 3

• x = 0, -4

Solve for x: 2x² - 8x - 24 = 0

• x = 4, -6

• x = 6, -2

• x = 2, -12

• x = 8, 3

What is the discriminant in the quadratic formula?

• The coefficient of the linear term

• The part of the quadratic formula under the square root: b² - 4ac

• The constant term in the equation

• The sum of the roots of the equation

What does a negative discriminant indicate?

• There are two distinct real roots.

• There is one real root and one complex root.

• There are no real roots, only complex roots.

• There are infinitely many real roots.