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April 25, 2018 CHECK for Extraneous af Iabb Solutions d- b' =ab - b ' E btb=b ⑤ I can 't divide 2b -_ b b- b- by a - b since a- b=O !
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 !
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
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✓
April 25, 2018
Solve:
is Xt 30=-4 x - 8
-
X = -31
.
NO SOLUTION
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
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
April 25, 2018
Solve:
00gLCD :@t*
- EEE:¥¥i¥÷:¥ .
5×2 tox¥51 to
,
=
1)xGT.grT
TITLED: x Csx ti )
I5¥a
4-
3 D= xExtD
20 Xt 4 -TX= If 't X
5x2-I6X-4€
5×2-16×-4=0
X= 16%1/76341-47677
=l6±VT10
=H±tf ←
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-
# 8
XIIx 't 2x -24
d
LCD :
(×t6K×€( Xt 6) C x - H )
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?
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.
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?
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?
