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
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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>
I think the answer is (3,3) I’m sorry if it’s wrong
Answer:
It's supposed to be 4-7/1-8
Step-by-step explanation:
The formula for slope is y1 - y2 / x1 - x2 (subscript). So you would take the y value from (8,7) which is 7, and subtract by the y value from (1,4), which is 4. You do the same for the x values and you get 7-4/8-1, which is 3/7.
The answer is B.
Because the domain is not repeating
Answer:
Step-by-step explanation:
We can simplify the expressio using the product rule. The exponents will add up when multiplied with each other:
The answer is B
