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 solutions of a quadratic equation ax² + bx + c = 0.

Tags

CCSS.HSA-REI.B.4B

Front

What are the coefficients in a quadratic equation?

Back

In the quadratic equation ax² + bx + c = 0, a, b, and c are the coefficients, where 'a' is the coefficient of x², 'b' is the coefficient of x, and 'c' is the constant term.

Front

How do you convert a quadratic equation to standard form?

Back

To convert a quadratic equation to standard form, rearrange it to the form ax² + bx + c = 0, ensuring all terms are on one side of the equation.

Front

What does the discriminant tell you?

Back

The discriminant (D = b² - 4ac) indicates the nature of the roots of a quadratic equation: if D > 0, there are two distinct real roots; if D = 0, there is one real root; if D < 0, there are no real roots.

Tags

CCSS.HSA-REI.B.4B

Front

Solve using the quadratic formula: 7x² - 26x - 8 = 0

Back

x = 4 and x = -2/7.

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

Solve by factoring: x² - 9x + 20 = 0

Back

x = 4 and x = 5.

Tags

CCSS.HSA-REI.B.4B

Front

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

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

What is the vertex form of a quadratic equation?

Back

The vertex form of a quadratic equation is y = a(x - h)² + k, where (h, k) is the vertex of the parabola.