Quadratic Equations in Standard Form
The standard form for a quadratic equation is ax2 bx = 0. It is not always clear whether an equation is a quadratic equation until it is simplified. Any equation that can be written in stand form is a quadratic equation.
Radicand Divided by Another Radicand, A
Simplifying a radical expression by dividing the radical in the numerator by the radical in the denominator.
Radicals Whose Radicands are Perfect Squares
A radical and its parts are explained and the procedure for simplifying a radical whose radicand is a perfect square is illustrated. A practical application for this skill is presented.
Negative Exponents in the Denominator
Simplifying an expression with a negative exponent in the denominator, and a formula that makes it easier.
Practical Problem: How Much Land to Buy
A practical problem involving the purchase of land is presented. The available information is organized into a table, an equation is written, then solved using the least common denominator to get a quadratic equation, and the solution checked.
Simplifying the Square Root of Larger Numbers
Simplifying the square root of a larger number.
Roots Other Than Square Roots
Simplifying radicals with cube roots and other roots.
Solving a Quadratic Equation Using the Quadratic Formula
Quadratic equations that cannot be solved by factoring or the square root method can be solved using the quadratic formula. When an equation is in standard form, the values of a, b, and c, including their signs, can be substituted for the letters in...
Solving an Equation with a Fraction
Most people are more comfortable working with whole numbers than with fractions, so when an equation includes a fraction the first thing to do is get rid of the denominator.
Examples of Simplifying Expressions
Expressions that include a negative exponent can be simplified by first rewriting the expression with positive exponents.