Solving Quadratics

Front

Solve by taking square roots: k² - 6 = 43

Back

k = 7, k = -7

Front

Identify the 'c' value in the equation: y = 16x² - 8x - 24

Back

c = -24

Front

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

Back

b = -8

Front

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

Back

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

Front

Solve: 2x² + 17x + 21 = 0

Back

x = -7, x = -3/2

Front

What is the standard form of a quadratic equation?

Back

y = ax² + bx + c, where a ≠ 0.

Front

What does the 'a' value represent in a quadratic equation?

Back

The 'a' value determines the direction of the parabola (upward if a > 0, downward if a < 0).

Front

What is the vertex of a parabola?

Back

The vertex is the highest or lowest point of the parabola, depending on the direction it opens.

Front

How do you find the axis of symmetry for a quadratic equation?

Back

The axis of symmetry is given by the formula x = -b/(2a).

Front

What is the quadratic formula?

Back

x = (-b ± √(b² - 4ac)) / (2a).