Solving Quadratic Equations by formula
Solving Quadratic Equations by formula
Cahlan
&
Ja’nae
Explanation
• You can solve the standard form of the quadratic equation for x. 02 cbxax
Detailed Steps
• Step 1:a=1 b=-2 c=-24• Step 2:• Step 3:• Step 4:• Step 5:• Step 6:• Step 7:
a
acbbx
2
42
12
241422 2
2
9642
2
102
2
1002 or
2
102 x or
2
102x
4 6
02421 2 xx
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Here’s some problems for you to try.
1.
2. 3. 4. 5. 6. 7. 8. 9.
0672 xx
045 2 yy
502 2 zzss 401004 2 02073 2 tt
0252 r025.6104 2 pp
0372 2 nn
025204 2 nn
015112 2 xx
.10
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Now check your answers
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10 problems with correct solutions
• Problem 1:
1261477 2
2
24497
2
257 12
57
62
57
6,1: solutions
0672 xx
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Continuation
• Problem 2: 045 2 yy
5245411 2
10
8011
10
811
110
91
8.10
91
8.,1: solution
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Continuation
• Problem 2: +50 +50502 2 zz
0502 2 zz
4
40011
4
3991
nosolution
22
502411 2
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Continuation
• Problem 4: -40s -40s ss 401004 2
0100404 2 ss
42100444040 2
8
1600160040
8
040
8
040
8
040
5:solution
ss 401004 2
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Continuation
• Problem 5 : 02073 2 tt
32
203477 2 t
6
240497
6
2897
46
177
2
6
177
2,4: solution
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Continuation
• Problem 6: 0252 r
120142525 2
2
062525 2
62525
2
25252
2525
25,0: solution
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Continuation
• Problem 7: 025.6104 2 pp
42
25.6441010 2
8
10010010
8
010
18
010
18
010
1:solution
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Continuation
• Problem 8: 0372 2 nn
22
32477 2
4
24497
4
737
4
5.874
5.87
375.0,875.3: solution
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Continuation
• Problem 9: 015112 2 xx
22
15241111 2
4
12012111
4
111
4
1114
111
3:solution
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Final Continuation
• Problem 10: 025204 2 nn
42
23442020 2
8
40040020
8
020
8
0208
020
5.2:solution
Summary Tool
• Plug in “A” value with “A”• Plug in “B” value with “B”• Plug in “C” value with “C” THEN SOLVE
aacbb
2
42
Websites
• http://www.mathskills.com/• Pentominoes – Use the 12 pentomino
combinations to solve problems (www.usu.edu.GAME)
• www.algebra1.com (online practice testing)