Solve 6m² - 24m-36= 0 using completing the square process. Show every step

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Solve EXACTLY like the example.

Solvelx² + 10x10
Use opposite operations to take the
constant to the other side so the
variables are alone.
*Check if = 1 If not divide all terms by
Luis 1
Take half of the linear term coefficient (ie
divide by 2) and square it. -10=55²25
+
Add that number on both sides of the
equation to create the perfect square
trinomial 5.5=25 5+5=10
* Factor the perfect square trinomial
Square root both sides and solve for x.
Simplify the square root if possible.
Don't forget I
Finish Solving → check your
√24=√4.56=256
r
8/12
x ² + 10x + 25 = −1+25
(x + 5)² = 24
√(x + 5)² = ± √24
x+5 = ± √√24
- S -S
*
X = −5 ± √24
X= -5±256
de
-5+250 and -5-26
Transcribed Image Text:Solvelx² + 10x10 Use opposite operations to take the constant to the other side so the variables are alone. *Check if = 1 If not divide all terms by Luis 1 Take half of the linear term coefficient (ie divide by 2) and square it. -10=55²25 + Add that number on both sides of the equation to create the perfect square trinomial 5.5=25 5+5=10 * Factor the perfect square trinomial Square root both sides and solve for x. Simplify the square root if possible. Don't forget I Finish Solving → check your √24=√4.56=256 r 8/12 x ² + 10x + 25 = −1+25 (x + 5)² = 24 √(x + 5)² = ± √24 x+5 = ± √√24 - S -S * X = −5 ± √24 X= -5±256 de -5+250 and -5-26
Solve 6m² - 24m-36=0 using completing the square process. Show every step.
Transcribed Image Text:Solve 6m² - 24m-36=0 using completing the square process. Show every step.
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