af Solutions - State College Area School District · 2b I can 't divide-_ b b-b-by a-b since a-b=O!...
Transcript of af Solutions - State College Area School District · 2b I can 't divide-_ b b-b-by a-b since a-b=O!...
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April 25, 2018CHECK for Extraneous
afIabb Solutions
d- b' =ab - b'
Ebtb=b ⑤ I can 't divide2b -_ bb- b- by a - b
since a- b=O !
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April 25, 2018
Check for extraneous solutions
- when a rat.Mal equation consists
of a rational expression on each
Side of the equation -
crossmultiplycheck
for Extraneous solutions
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April 25, 2018
Solve:
Method 1: Cross-Multiplication
since thereare no
otherA
my terms
562-17=15-(2×-2) justcross multiply
5×2-5=30×-30
5×2-30×+25=0 X -5=0 X - 1=0
562-6×+51=0 X={ 5,
⑦and : Text
.solute
.56-514-7=00 ,o÷=h=E✓
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April 25, 2018
Solve:
is Xt 30=-4 x - 8
-
X = -31
.
NO SOLUTION
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April 25, 2018
f f Xt 3=0 X -2=0
- 3 -3 +2+2-4=-3✓x=2✓2×2-7=-2×+8
T T+2×-8 thx -8
- KR
2×72×-12=0③=321×7×-61=0 2 -2
21×+31×-23=0 X= -3
÷ .ir
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April 25, 2018
Method 2: Multiplying by the LCD→ Donuts!'m'Itipcy
K€0,
,②Q)
ox
LCD :
2×5=10×010X2.tox¥e¥¥¥F. ⑤-
⇒'
ECheck f
÷ - 2 -
5-4=5×5I -2=121 sI2
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April 25, 2018
Solve:
00gLCD :@t*
- EEE:¥¥i¥÷:¥ .
5×2 tox¥51 to
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,
=
1)xGT.grT
TITLED: x Csx ti )
I5¥a
4-
3 D= xExtD
20 Xt 4 -TX= If 't X
5x2-I6X-4€
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5×2-16×-4=0
X= 16%1/76341-47677
=l6±VT10
=H±tf ←
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④
⇐. .. En -
E) non - is
✓ n Cn - I ) ✓
←LCD n ( n - t )
n :#=
" Hints'-sina.tt
n = 5 - 5 n It 5h t 5 n
In n-
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# 8
XIIx 't 2x -24
d
LCD :
(×t6K×€( Xt 6) C x - H )
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April 25, 2018
The aerodynamic covering on this bicycle increases a cyclists average speed by 10 miles per hour. The time for a 75-mile trip is reduced by 2 hours. What is the average speed for the trip using the aerodynamic covering?
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April 25, 2018
Suppose that Walter can ski 5 miles down hill in the same time that it takes him to ski 3 miles uphill. He skis downhill 4 miles per hour faster than he skis uphill. Find his skiing rate each way.
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April 25, 2018
Suppose that Madison and Woody are short on community service hours (for Delta, not court ordered!)
They decided that they would stuff envelopes for a Delta fundraiser. Working together, Madison and Woody can complete the job in about 4 hours. How many hours would it take each of them working alone?
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April 25, 2018
Suppose that Madison and Woody are short on community service hours (for Delta, not court ordered!)
They decided that they would stuff envelopes for a Delta fundraiser. Working together, Madison and Woody can complete the job in about 4 hours. How many hours would it take each of them working alone?