# Chapter P - Section P.7 - Equations - Exercise Set - Page 108: 156

See table P5 "Determining the Most Efficient Technique to Use when Solving a Quadratic Equation" (sample answer follows) The given equation is $ax^{2}+bx+c=0$. First, see if a term is missing, $bx$ or $c.$ The factoring (c missing) or square-root property (bx is missing) methods lead to a quick solution. If not, you look to factor $ax^{2}+bx+c$. This is easier when a=1, and slightly more complicated when $a\neq 1.$ If factoring does not seem easy, maybe the leading coefficient a is a perfect square. Then, try the complete-the-square method. If all else fails, we can use the quadratic formula. We can always use the quadratic formula.

#### Work Step by Step

Given above.

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.