Chapter 16

Muscling Up to Quadratic Equations

IN THIS CHAPTER

Bullet Taking advantage of the square-root rule

Bullet Solving quadratic equations by factoring

Bullet Enlisting the quadratic formula

Bullet Completing the square to solve quadratics

Bullet Dealing with the impossible

Quadratic (second-degree) equations are nice to work with because they’re manageable. Finding the solution or deciding whether a solution exists is relatively easy — easy, at least, in the world of mathematics.

A quadratic equation is an equation that is usually written as math, where b, c, or both b and c may be equal to 0, but a is never equal to 0. The solutions of quadratic equations can be two real numbers, one real number, or no real number at all. (Real numbers are all the whole numbers, fractions, negatives and positives, radicals, and irrational decimals. Imaginary numbers are something else again!)

When solving quadratic equations, the ...

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