004 Sample Final A, Problem 16 - Revision history

Kayla Murray at 23:14, 3 May 2015

2015-05-03T23:14:01Z

2015-05-03T22:56:19Z

2015-05-01T04:13:07Z

2015-04-28T22:48:31Z

Created page with "<span class="exam"> Solve. <math>\sqrt{x - 3} + 5 = x</math>"

New page

<span class="exam"> Solve. <math>\sqrt{x - 3} + 5 = x</math>

@@ Line 20: / Line 20: @@
 ! Step 1:
 |-
+|First, we get the square root by itself. Subtracting 5 from both sides, we get <math>\sqrt{x - 3}= x-5</math>.
+|
 |}
@@ Line 28: / Line 27: @@
 ! Step 2:
 |-
+|Now, to get rid of the square root, we square both sides of the equation.
 |}
@@ Line 34: / Line 35: @@
 ! Step 3:
 |-
+|We multiply out the right hand side to get <math>x - 3 = x^2-10x+25</math>.
 |-
+|Getting all the terms on one side, we have <math>0=x^2-11x+28</math>.
 |-
+|To solve, we can factor to get <math>0=(x-7)(x-4)</math>.
 |}
 {|class = "mw-collapsible mw-collapsed" style = "text-align:left;"
-! Step 4:
+! Step 5:
 |-
+|The two possible solutions are <math>x=7 </math> and <math>x=4</math>.
 |-
+|But, plugging in <math>x=4 </math> into the problem, gives us <math> 6=\sqrt{4-3}+5=4 </math>, which is not true.
 |-
+|Thus, the only solution is <math>x=7 </math>.
 |}
@@ Line 56: / Line 59: @@
 ! Final Answer:
 |-
+|<math>x=7 </math>
 |}
 [[004 Sample Final A|<u>'''Return to Sample Exam</u>''']]

@@ Line 3: / Line 3: @@
 ! Foundations
 |-
+|1) How do you solve for <math> x </math> in the equation <math>\sqrt{x}=5 </math>?
 |-
 |Answer:
 |-
+|1) You square both sides of the equation to get <math>x=25</math>.
 |}

← Older revision		Revision as of 04:13, 1 May 2015
Line 1:		Line 1:
	<span class="exam"> Solve. <math>\sqrt{x - 3} + 5 = x</math>		<span class="exam"> Solve. <math>\sqrt{x - 3} + 5 = x</math>
		+	{\| class="mw-collapsible mw-collapsed" style = "text-align:left;"
		+	! Foundations
		+	\|-
		+	\|
		+	\|-
		+	\|Answer:
		+	\|-
		+	\|
		+	\|}
		+
		+
		+	Solution:
		+
		+	{\| class = "mw-collapsible mw-collapsed" style = "text-align:left;"
		+	! Step 1:
		+	\|-
		+	\|
		+	\|-
		+	\|
		+	\|}
		+
		+	{\|class = "mw-collapsible mw-collapsed" style = "text-align:left;"
		+	! Step 2:
		+	\|-
		+	\|
		+	\|}
		+
		+	{\|class = "mw-collapsible mw-collapsed" style = "text-align:left;"
		+	! Step 3:
		+	\|-
		+	\|
		+	\|-
		+	\|
		+	\|-
		+	\|
		+	\|-
		+	\|
		+	\|}
		+
		+	{\|class = "mw-collapsible mw-collapsed" style = "text-align:left;"
		+	! Step 4:
		+	\|-
		+	\|
		+	\|-
		+	\|
		+	\|-
		+	\|
		+	\|}
		+
		+	{\|class = "mw-collapsible mw-collapsed" style = "text-align:left;"
		+	! Final Answer:
		+	\|-
		+	\|
		+	\|}
		+
		+	[[004 Sample Final A\|<u>'''Return to Sample Exam</u>''']]