Solve each equation by completing the square. If necessary, round to the nearest hundredth.
p 2 − 5 p = − 4
To solve : the equation by completing the square
The solution of the equation is z=4,1
Given information :
The equation is
p2−5p=−4
Calculation :
The solution of the equation is
p2−5p=−4p2−5p+254=−4+254p2−2⋅p⋅52+(52)2=−16+254(p−52)2=94(p−52)=±94p−52=±32p=52±32p=4,1
Hence, the solution of the equation is z=4,1 .
High School Math 2012 Common-core Algebra 1 Practice And Problem Solvingworkbook Grade 8/9
College Algebra
Elementary and Intermediate Algebra
Algebra and Trigonometry
Elementary Algebra: Concepts and Applications (10th Edition)
College Algebra with Modeling & Visualization (5th Edition)
Elementary and Intermediate Algebra: Concepts and Applications (7th Edition)