Solving Quadratics: Irrational & Rational

Front

What is the quadratic formula?

Back

Front

Identify the values of a, b, and c in the equation: 4x^2 - 8x = 3.

Back

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

Front

Solve for x using the quadratic formula: 3x^2 + 10x + 5 = 0.

Back

Front

Solve for x using the quadratic formula: x^2 + 9x + 9 = 0.

Back

Front

What does the discriminant (b^2 - 4ac) tell us about the roots of a quadratic equation?

Back

The discriminant indicates the nature of the roots: if > 0, two distinct real roots; if = 0, one real root; if < 0, two complex roots.

Front

What is the vertex form of a quadratic equation?

Back

Front

What is the standard form of a quadratic equation?

Back

Front

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

Back

Front

What is the significance of the leading coefficient (a) in a quadratic equation?

Back

The leading coefficient determines the direction of the parabola: if a > 0, it opens upwards; if a < 0, it opens downwards.

Front

What is a rational root?

Back

A rational root is a solution to a polynomial equation that can be expressed as a fraction of two integers.