Solving Quadratics and Quadratic Formula

Front

What is the quadratic formula?

Back

The quadratic formula is used to find the solutions of a quadratic equation and is given by: x = (-b ± √(b² - 4ac)) / (2a).

Tags

CCSS.HSA-REI.B.4B

Front

What are the values of a, b, and c in the quadratic equation 4x² - 8x - 3 = 0?

Back

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

Front

Solve for x: 2x² = -x + 3

Back

x = -1.5 and x = 1.

Tags

CCSS.HSA-REI.B.4B

Front

Solve using the quadratic formula: 2x² - 9x - 35 = 0

Back

x = -5/2 and x = 7.

Tags

CCSS.HSA-REI.B.4B

Front

Use the quadratic formula to solve: n² = 9n - 20

Back

n = 4 and n = 5.

Tags

CCSS.HSA-REI.B.4B

Front

What is the zero product property?

Back

The zero product property states that if the product of two factors is zero, then at least one of the factors must be zero.

Tags

CCSS.HSA-REI.B.4B

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 does the discriminant (b² - 4ac) tell us about a quadratic equation?

Back

The discriminant determines the nature of the roots: if it's positive, there are two real roots; if zero, one real root; if negative, no real roots.

Tags

CCSS.HSA-REI.B.4B

Front

How do you convert a quadratic equation to standard form?

Back

To convert to standard form, rearrange the equation to the form ax² + bx + c = 0.

Front

What is the vertex of a parabola?

Back

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