Solve each equation by completing the square. If necessary, round to the nearest hundredth.
m 2 − 24 m + 44 = 0
To solve : the equation by completing the square
The solution of the equation is m=22,2
Given information :
The equation is
m2−24m+44=0
Calculation :
The solution of the equation is
m2−24m+44=0m2−2m+144=−44+144m2−2⋅m⋅12+(12)2=100(m−12)2=100(m−12)=±100m−12=±10m=12±10m=22,2
Hence, the solution of the equation is m=22,2 .
High School Math 2012 Common-core Algebra 1 Practice And Problem Solvingworkbook Grade 8/9
Algebra and Trigonometry (6th Edition)
Linear Algebra with Applications (9th Edition) (Featured Titles for Linear Algebra (Introductory))
College Algebra
College Algebra with Modeling & Visualization (6th Edition)
Elementary Algebra
Intermediate Algebra