Which equation has the same solution as x2 + 6x – 20 = -10? O (x – 3)2 = 19 O (x – 3)² = 1 - O (æ + 3)² = 1 O (x + 3)² = 19

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.5: Solving Quadratic Equations By Completing The Square
Problem 49PFA
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Which equation has the same solution as
x2 + 6x
20 = –10?
O (a – 3)2 = 19
O (27 – 3)2 = 1
O (x + 3)2 = 1
(x + 3)2 = 19
Transcribed Image Text:Which equation has the same solution as x2 + 6x 20 = –10? O (a – 3)2 = 19 O (27 – 3)2 = 1 O (x + 3)2 = 1 (x + 3)2 = 19
Expert Solution
Step 1

x² + 6x - 20 = -10

So, x² + 6x = 20 - 10

So, x² + 6x = 10

So, (x² + 2•x•3 + 3²) = 10 + 3²

So, (x + 3)² = 19

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