# 4 A student tried to complete the squares for x2 + 4x = 4, but something was wrong in her computation. Identify the error in her procedure and make correction. %3D First, find the missing constant: since 4 = - = 2, get 2 (A = 22 = 4 Next, add 4 to the equation: x² + 4x + 4 = 4 Lastly, factor the trinomial: (x + 2)² = 22

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.3: Quadratic Equations
Problem 82E
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identify error
a) r2 - 6r + c = (
b) p? + 12p + c = (
c) x? - 3x + c = (
d) y? - y+ c = (
# 4 A student tried to complete the squares for x + 4x =
computation. Identify the error in her procedure and make correction.
:4, but something was wrong in her
4
First, find the missing constant: since
= 2, get () = 22 = 4
%3D
2
Next, add 4 to the equation: x² + 4x + 4 = 4
Lastly, factor the trinomial: (x + 2)2 = 22
REVIEW: The equation of a circle centered at (h, k) and with radius R is
(x - h)² + (y – k)² = R²
%3D
#5 Identify the center and radius of each. Then sketch the graph.
a) (x - 1)2 + (y + 3)² = 4
b) x² + 2x + y? = 15
%3D
Transcribed Image Text:a) r2 - 6r + c = ( b) p? + 12p + c = ( c) x? - 3x + c = ( d) y? - y+ c = ( # 4 A student tried to complete the squares for x + 4x = computation. Identify the error in her procedure and make correction. :4, but something was wrong in her 4 First, find the missing constant: since = 2, get () = 22 = 4 %3D 2 Next, add 4 to the equation: x² + 4x + 4 = 4 Lastly, factor the trinomial: (x + 2)2 = 22 REVIEW: The equation of a circle centered at (h, k) and with radius R is (x - h)² + (y – k)² = R² %3D #5 Identify the center and radius of each. Then sketch the graph. a) (x - 1)2 + (y + 3)² = 4 b) x² + 2x + y? = 15 %3D
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