Quadratic Formula

Front

What is the first step in solving quadratic equations?

Back

Write the equation in standard form.

Tags

CCSS.HSA-REI.B.4B

Front

In the equation ax² + bx + c = 0, which term corresponds with x?

Back

b

Front

Use the quadratic formula to find the solutions for y = -x² - 5x + 12.

Back

No Real Solution.

Tags

CCSS.HSA-REI.B.4B

Front

True or False: The quadratic formula can be used to solve quadratic equations that cannot be factored.

Back

True.

Tags

CCSS.HSA-REI.B.4B

Front

Use the quadratic formula to solve for x: 2x² + 2x - 12 = 0.

Back

x = 2, x = -3.

Tags

CCSS.HSA-REI.B.4B

Front

What is the quadratic formula?

Back

x = (-b ± √(b² - 4ac)) / (2a).

Tags

CCSS.HSA-REI.B.4B

Front

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

Back

It indicates 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 standard form of a quadratic equation?

Back

ax² + bx + c = 0, where a ≠ 0.

Front

What does 'factoring' a quadratic equation mean?

Back

Expressing the quadratic as a product of two binomials.

Front

What is the vertex of a parabola represented by a quadratic equation?

Back

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