ALGEBRA unit 9 vocabulary solving quadratic equations

Counting Numbers

• Natural numbers starting from 1, 2, 3...

• Whole numbers including 0, 1, 2, 3...

• Negative integers such as -1, -2, -3...

• Decimal numbers like 1.1, 2.5, 3.7...

Integers

• Real numbers that are the numbers marked on a traditional number line.

• Whole numbers that can be positive, negative, or zero.

• Numbers that can be expressed as a fraction of two integers.

• Numbers that are only positive and whole.

Quadratic Formula

• @@x=rac{-b ext{±} ext{sqrt}{b^2-4ac}}{2a}@@

• @@x=rac{-b ext{±} ext{sqrt}{b^2+4ac}}{2a}@@

• @@x=rac{-b ext{±} ext{sqrt}{b^2-2ac}}{2a}@@

• @@x=rac{-b ext{±} ext{sqrt}{b^2-4a^2c}}{2a}@@

Rational Numbers

• Numbers that can be expressed as a fraction of two integers, where the denominator is not zero.

• Numbers that cannot be expressed as a fraction of two integers.

• Whole numbers and their negatives.

• Only integers that are greater than zero.

Radical

• The symbol, @@\sqrt{}@@

• The symbol, @@\frac{1}{2}@@

• The symbol, @@x^2@@

• The symbol, @@rac{1}{x}@@

Rationalizing an Expression

• The process of eliminating a radical from the denominator of a fraction.

• The process of simplifying a fraction by multiplying by its conjugate.

• The method of finding the square root of a number.

• The technique of converting a decimal into a fraction.

Whole Numbers

• Real numbers starting with 0, 1, 2, 3, ...

• Negative integers such as -1, -2, -3, ...

• All integers including fractions and decimals

• Natural numbers starting from 1, 2, 3, ...

Discriminant

• The part of the quadratic formula under the square root sign, @@b^2-4ac@@, which determines the nature and number of roots.

• The coefficient of the linear term in a quadratic equation.

• The constant term in a quadratic equation that affects the graph's position.

• The value that represents the maximum point of a parabola.

Principal Square Root

• The NEGATIVE square root of a number.

• The POSITIVE square root of a number.

• The square root of a number, regardless of sign.

• The square root of a number multiplied by itself.

Solutions to Quadratic Equations

• The value(s) of x when y = 0.

• The value(s) of y when x = 0.

• The maximum value of the quadratic function.

• The minimum value of the quadratic function.