SOLUTION: Find the roots of the quadratic equations by the method of completing the square. Express the roots, if they are not rational, in simplest radical form. x2 + 22x + 112 = 0

Algebra ->  Algebra  -> Quadratic Equations and Parabolas  -> Quadratic Equation Customizable Word Problems -> SOLUTION: Find the roots of the quadratic equations by the method of completing the square. Express the roots, if they are not rational, in simplest radical form. x2 + 22x + 112 = 0      Log On

Ad: You enter your algebra equation or inequality - Algebrator solves it step-by-step while providing clear explanations. Free on-line demo .
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

   

Question 40974: Find the roots of the quadratic equations by the method of completing the square. Express the roots, if they are not rational, in simplest radical form.


x2 + 22x + 112 = 0
Answer by psbhowmick(465) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E2+%2B+22x+%2B+112+=+0
or %28x%5E2+%2B+2%2Ax%2A11+%2B+11%5E2%29+%2B+112+-+11%5E2+=+0
or %28x+%2B+11%29%5E2+%2B+112+-+121+=+0
or %28x+%2B+11%29%5E2+-+9+=+0
or %28x+%2B+11%29%5E2+=+3%5E2+=+0
or %28x%2B11%29+=+sqrt%283%5E2%29
Either (x+11) = 3 or (x+11) = -3
Accordingly x = -8 or x = -14