Quadratic Formula

Front

What is the first step in solving quadratic equations?

Back

Write the equation in standard form.

Front

What is the quadratic formula?

Back

x = (-b ± √(b² - 4ac)) / (2a)

Front

In the equation ax² + bx + c = 0, what does 'a' represent?

Back

'a' is the coefficient of the x² term.

Front

How many solutions can a quadratic equation have?

Back

A quadratic equation can have 0, 1, or 2 solutions.

Front

What does it mean if the discriminant (b² - 4ac) is positive?

Back

The quadratic equation has 2 distinct real solutions.

Front

What does it mean if the discriminant (b² - 4ac) is zero?

Back

The quadratic equation has exactly 1 real solution (a repeated root).

Front

What does it mean if the discriminant (b² - 4ac) is negative?

Back

The quadratic equation has no real solutions (2 complex solutions).

Front

Can the quadratic formula be used to solve equations that cannot be factored?

Back

Yes, the quadratic formula can be used for all quadratic equations.

Front

Solve for x using the quadratic formula: 2x² + 2x - 12 = 0

Back

x = 2 and x = -3.

Front

What is the standard form of a quadratic equation?

Back

The standard form is ax² + bx + c = 0.