Solving Quadratics and Quadratic Formula

Front

What is the quadratic formula?

Back

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

Tags

CCSS.HSA-REI.B.4B

Front

Identify the values of a, b, and c in the equation 4x² - 8x - 3 = 0.

Back

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

Front

Solve using the quadratic formula: x² + 4x - 40 = -8.

Back

x = -8 and x = 4.

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

Solve by factoring: x² - 9x + 20 = 0.

Back

x = 4 and x = 5.

Tags

CCSS.HSA-REI.B.4B

Front

What is the zero product property?

Back

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

Back

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

Tags

CCSS.HSA-REI.B.4B

Front

What is a quadratic equation?

Back

A quadratic equation is a polynomial equation of the form ax² + bx + c = 0, where a ≠ 0.

Front

How do you convert a quadratic equation to standard form?

Back

Rearrange the equation to the form ax² + bx + c = 0.

Front

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

Back

The vertex is the highest or lowest point of the parabola, found at the point (h, k) where h = -b/(2a) and k = f(h).