Solving Quadratic Equations Review

Front

When solving quadratic equations, the equation must be equal to _______.

Back

zero

Tags

CCSS.HSA-REI.B.4B

Front

Solve the following equation: (x + 8)² = 72

Back

x = -14

Tags

CCSS.8.EE.A.2

Front

What are the solutions to the equation x^2 - 49 = 0?

Back

x = 7 and x = -7

Tags

CCSS.8.EE.A.2

Front

Solve the following equation: 5x^2 - 9x + 18 = 4x^2

Back

No real solution

Tags

CCSS.HSA-REI.B.4B

Front

Solve the following equation: 5x^2 + 28 = 27x

Back

x = 4 or x = -7/5

Tags

CCSS.HSA-REI.B.4B

Front

What is the standard form of a quadratic equation?

Back

The standard form is ax^2 + bx + c = 0, where a, b, and c are constants.

Front

What is the quadratic formula used for?

Back

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

Tags

CCSS.HSA-REI.B.4B

Front

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

Back

The discriminant determines the nature of the roots: if > 0, two real solutions; if = 0, one real solution; if < 0, no real solutions.

Tags

CCSS.HSA-REI.B.4B

Front

What is the vertex of a parabola in the context of a quadratic equation?

Back

The vertex is the highest or lowest point of the parabola, found at x = -b/(2a).

Front

How do you complete the square for the equation x^2 + 6x + 5 = 0?

Back

Rewrite as (x + 3)² - 4 = 0, then solve for x.

Tags

CCSS.HSA-REI.B.4B