Georgia was asked to solve the following quadratic equation by completing the square: x^(2)-2x-4=0 This is what she's completed so far: x^(2)-2x=4 x^(2)-2x+1=4+1 What is the next step to her solution? (x-2)^(2)-5 (x-2)^(2)=5 (x-1)^(2)=5 (x+1)^(2)=5
Added by Teresa Y.
Step 1
Step 1: Georgia has correctly rewritten the equation as \( x^2 - 2x = 4 \) and then added 1 to both sides to complete the square, resulting in \( x^2 - 2x + 1 = 4 + 1 \). Show more…
Show all steps
Close
Your feedback will help us improve your experience
Nick Johnson and 78 other Calculus 1 / AB educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Solve each equation by completing the square. $x^{2}+4 x=1$ Take half the coefficient of $x$ and square it. $\frac{1}{2} \cdot \__=2$ and ____${ }^{2}=4$ Now add ____ to each side of the equation. $x^{2}+4 x+$ ____$=1+4$ Factor and add. $(_____)^{2}=$_____
Quadratic Equations, Inequalities, and Functions
Solving Quadratic Equations by Completing the Square
Complete the square. $$x 2-4 x+?=(x-?) 2$$
Solving Quadratic Equations and Graphing Parabolas
Completing the Square
Gio is solving the quadratic equation by completing the square. 5x2 + 15x – 4 = 0 What should Gio do first? Isolate the constant. Factor 5 out of the variable terms. Isolate the variable x. Add 9 to both sides of the equation
Farhan A.
Recommended Textbooks
Calculus: Early Transcendentals
Thomas Calculus
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD