Solving Quadratics

Front

Solve: 4m² - 100 = 0

Back

m = 5, -5

Front

Solve: a² + 2a - 24 = 0

Back

a = -6, 4

Front

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

Back

c = -24

Front

Solve by taking square roots: 5b² - 4 = 41

Back

b = 3, -3

Front

Calculate b² - 4ac for the equation: y = 2x² - x - 3

Back

b² - 4ac = 25

Front

What is the quadratic formula?

Back

x = (-b ± √(b² - 4ac)) / (2a)

Front

What does the discriminant (b² - 4ac) tell us?

Back

It indicates the nature of the roots of the quadratic equation.

Front

What are the roots of a quadratic equation?

Back

The values of x that satisfy the equation ax² + bx + c = 0.

Front

What is the vertex of a parabola?

Back

The highest or lowest point of the parabola, given by the formula (-b/2a, f(-b/2a)).

Front

What is the axis of symmetry in a quadratic function?

Back

The vertical line that divides the parabola into two mirror images, given by x = -b/(2a).