The answer
the full the question is as follow:
<span>Which of the following is an extraneous solution of (45 - 3x)^1/2 =x -9
for solving such an equation, this is the method:
finding the squared value of each member of the equation
</span>[(45 - 3x)^1/2 ]² = (x -9)² (E)
<span>
extend each value of the member
</span>[(45 - 3x)^1/2 ]² = 45 - 3x, because (sqrt a )² = a
the condition is 45 - 3x≥0 ( because of the square root)
it means - 3x≥ -45 and x ≤ 15
(x -9)² = x²-18x + 81
<span>
so </span>45 - 3x = x²-18x + 81, this is equivalent to x² - 15x +36 =0
<span>
this equation should solve for x, for finding the help
Delta = 15² - 4*36 = 81, so x = - (-15) - sqrt (81) / 2 *1=15-9 /2= 3
and </span>x = - (-15) +sqrt (81) / 2 *1= 15 +9/2= 24/2=12
<span>
for x= 12, the equation given above ( equation E) has no solution, because
we can find 3=9
so </span><span>an extraneous solution is x = 12</span><span>
</span>
Answer:
1,238,400
Step-by-step explanation:
hope this helps!
Answer: Greater
Step-by-step explanation:
The in the function f (x)=2x
Thus, the domain for f(x) is all real numbers greater than or equal to 2.
Answer:
50
Step-by-step explanation:
d-nr of ducks
g- nr of goats
2*d+4*g=260
d+g=80 /*(-2)
2d+4g=260
-2d-2g=-160
------------------
2g=100
g=100/2
g=50
To do this without a calculator, the best method would be chunking.
Minus 36 from 936 in groups of ten until a smaller number is reached; record the number in each group.
936 - (10 x 36)
936 - 360 = 576
576 - (10 x 36)
576 - 360 = 216
216 - (5 x 36)
216 - 180 = 36
36 - (1 x 36)
36 - 36 = 0
Add up all the bold numbers
10 + 10 + 5 + 1 = 26
