The goal of this problem is to solve the equation x2 – 2x – 19 = 0 by completing the square. At each step you should fill in the blanks with the appropriate number Step 1: Move the constant term to the right side of the equation. x? – 2x Step 2: Add a number to each side that will make the left side of the equation a perfect square trinomial. x2 – 2x + Step 3: Factor the left hand side as a perfect square trinomial. (x

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 47PFA
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The goal of this problem is to solve the equation
? — 2х — 19 — 0
by completing the square. At each step you should fill in the blanks with the appropriate number.
Step 1: Move the constant term to the right side of the equation.
2x
Step 2: Add a number to each side that will make the left side of the equation a perfect square
trinomial.
2x +
|
Step 3: Factor the left hand side as a perfect square trinomial.
(x -
Transcribed Image Text:The goal of this problem is to solve the equation ? — 2х — 19 — 0 by completing the square. At each step you should fill in the blanks with the appropriate number. Step 1: Move the constant term to the right side of the equation. 2x Step 2: Add a number to each side that will make the left side of the equation a perfect square trinomial. 2x + | Step 3: Factor the left hand side as a perfect square trinomial. (x -
Step 4: Take the square root of both sides of the equation, remembering that there is a positive and
negative square root.
Step5: Isolate x.
Transcribed Image Text:Step 4: Take the square root of both sides of the equation, remembering that there is a positive and negative square root. Step5: Isolate x.
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