Section 1
Complete the Square of x^2 + bx
Property
To complete the square of :
Step 1. Identify , the coefficient of .
Step 2. Find , the number to complete the square.
In this Grade 9 lesson from California Reveal Math Algebra 1, students learn how to solve quadratic equations by completing the square, including cases where the leading coefficient is not 1. The lesson covers finding the value of c that creates a perfect square trinomial using the pattern x² + bx + (b/2)² = (x + b/2)², then applying the Square Root Property to isolate solutions. Students also use completing the square to convert quadratic functions into vertex form and identify key features such as the axis of symmetry, extrema, and zeros.
Section 1
Complete the Square of x^2 + bx
To complete the square of :
Step 1. Identify , the coefficient of .
Step 2. Find , the number to complete the square.
Section 2
Solve Equations by Completing the Square
To solve a quadratic equation of the form by completing the square:
Step 1. Isolate the variable terms on one side and the constant terms on the other.
Step 2. Find , the number needed to complete the square. Add it to both sides of the equation.
Book overview
Jump across lessons in the current chapter without opening the full course modal.
Continue this chapter
Expand to review the lesson summary and core properties.
Section 1
Complete the Square of x^2 + bx
To complete the square of :
Step 1. Identify , the coefficient of .
Step 2. Find , the number to complete the square.
Section 2
Solve Equations by Completing the Square
To solve a quadratic equation of the form by completing the square:
Step 1. Isolate the variable terms on one side and the constant terms on the other.
Step 2. Find , the number needed to complete the square. Add it to both sides of the equation.
Book overview
Jump across lessons in the current chapter without opening the full course modal.
Continue this chapter