Quadratic Formula Practice

Front

What is the Quadratic Formula?

Back

The Quadratic Formula is x = (-b ± √(b² - 4ac)) / (2a), used to find the solutions of a quadratic equation ax² + bx + c = 0.

Front

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

Back

The discriminant indicates the nature of the roots of a quadratic equation: if > 0, two real and distinct roots; if = 0, one real root; if < 0, no real roots.

Front

Solve: 2x² + 7x + 6 = 0

Back

x = -3/2 and x = -2.

Front

Solve: 7x² - 28x = 0

Back

x = 0 and x = 4.

Front

Solve: x² - 9x + 20 = 0

Back

x = 4 and x = 5.

Front

What is a quadratic equation?

Back

A quadratic equation is a polynomial equation of degree 2, typically in the form ax² + bx + c = 0.

Front

What are the coefficients in a quadratic equation?

Back

In the equation ax² + bx + c = 0, a, b, and c are coefficients, where 'a' cannot be zero.

Front

Solve: 4m² - 100 = 0

Back

m = 5 and m = -5.

Front

What is the vertex of a parabola?

Back

The vertex is the highest or lowest point of a parabola, found at the point (h, k) in the vertex form y = a(x - h)² + k.

Front

What is the axis of symmetry in a quadratic function?

Back

The axis of symmetry is a vertical line that divides the parabola into two mirror-image halves, given by x = -b/(2a).