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>
3/4*1/4= 3/16 or 0.1875 (you times 3 by 1 and 4 by 4)
3/4*8= 6
first bracket = 3/16+ 6
1/2+2= 2 1/2 or 2.5
second bracket = -2.5
-3/8*4= -1.5
-3/8*x= -3/8x or -0.375x
third bracket= -0.375x
so
(0.1875+6) - (2.5) - (0.375x) - (0.25x)
collect like terms
6.2 - 2.5 = 3.7
0.375x - 0.25x = 0.125x
3.7-0.125x is your answer in decimal form
(3/16+6/1) - (2 1/2) - (3/8x-1/4x)
(6 3/16 - 2 1/2 )
(3 11/16)
3/8x-1/4x= 1/8x
final answer = 3 11/16 - 1/8x
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The answer is 14.4
Hope it Helps :]
Answer:
yes to 5, and no to -7 (only because we are dealing with real positive numbers, not imaginary numbers). the domain is all real numbers greater than or equal to 2
Step-by-step explanation:
