Quadratic Formula

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is ax² + bx + c = 0, where a, b, and c are constants and a ≠ 0.

Front

Identify the values of a, b, and c for the quadratic equation: 4x² - 8x - 3 = 0

Back

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

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 the discriminant of a quadratic equation determine?

Back

The discriminant determines the number and type of solutions of the quadratic equation.

Front

If the discriminant equals 0, how many real solutions does the quadratic have?

Back

1 Real Solution

Front

Identify the value of b in the quadratic equation: y = 16x² - 8x - 24

Back

b = -8

Front

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

Back

The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a).

Front

What is the value of the discriminant if a = 1, b = 2, c = 1?

Back

The discriminant is 0 (b² - 4ac = 2² - 4(1)(1) = 0).

Front

How many solutions does the square root of 25 have?

Back

Two Solutions: +5 or -5

Front

What is the vertex form of a quadratic equation?

Back

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