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

What does the term 'standard form' refer to in quadratic equations?

Back

The standard form of a quadratic equation is ax² + bx + c = 0.

Front

What is the significance of the discriminant (b² - 4ac) in the quadratic formula?

Back

It determines the nature of the roots: if > 0, two real roots; = 0, one real root; < 0, no real roots.

Front

How do you identify a, b, and c in the equation 2x² + 2x - 12 = 0?

Back

a = 2, b = 2, c = -12.

Front

What is the solution to the equation 2x² + 2x - 12 = 0 using the quadratic formula?

Back

x = 2 and x = -3.

Front

What should you do first in solving the equation x² + 6x - 13 = 3?

Back

Subtract 3 from both sides.

Front

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

Back

True.

Front

What is the standard form of a quadratic equation?

Back

ax² + bx + c = 0.

Front

What is the vertex form of a quadratic equation?

Back

y = a(x - h)² + k, where (h, k) is the vertex.