ALG2 3.4 - Quadratic Formula

Front

What is the first step in solving the equation x² + 6x - 13 = 3?

Back

Make it equal 0 by subtracting 3 on each side.

Front

What does a discriminant of 25 indicate about the number of solutions for a quadratic equation?

Back

2 solutions.

Front

Identify the values of a, b, and c in the equation 4x² – 8x = 3.

Back

a = 4, b = -8, c = -3.

Front

What is the formula for the discriminant of a quadratic equation?

Back

b² - 4ac.

Front

What is the value of the discriminant for the equation x² + 7x + 13?

Back

-3.

Front

What does a negative discriminant indicate about the roots of a quadratic equation?

Back

0 real roots (2 imaginary roots).

Front

What is the quadratic formula used to find the roots of a quadratic equation?

Back

x = (-b ± √(b² - 4ac)) / (2a).

Front

If a quadratic equation has a discriminant of 0, what can be said about its roots?

Back

There is 1 real root with a multiplicity of 2.

Front

How do you convert the equation 4x² – 8x = 3 into standard form?

Back

4x² - 8x - 3 = 0.

Front

What is the significance of the coefficients a, b, and c in a quadratic equation?

Back

They determine the shape and position of the parabola.