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:
It is actually choice c
Step-by-step explanation:
I took the test
Answer:
∠X = 48°
∠Y = 96°
∠Z = 36°
Step-by-step explanation:
All angles of a triangle are equal to 180.
(3.2n) + (6.4n) + (2.4n) = 180
12n = 180
n = 15
Now, we will solve for each angle.
∠X = 48°
3.2n
3.2(15)
48°
∠Y = 96°
6.4n
6.4(15)
96°
∠Z = 36°
2.4n
2.4(15)
36°
<em>If the answers I provided are not in your drop-down menus, let me know.</em>
Answer:
(x, y) -> (-x,-y)
180
Step-by-step explanation:
Answer:
d= -11
firstly you distribute, then you add the numbers, add 38 to both sides, simplify, divide both sides by the same factor, divide the numbers and that's the total
