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:
a
Step-by-step explanation:
(√12 + 6)(-√8 -√2) = (√3×4 + 6)( -√2×4 -√2) =
(2√3 + 6)( -2√2 - √2) = (2√3 + 6)(-3√2) = -6√6 - 18√2
Answer:
10/07/20. t(x)=3x;t(x)=24
Step-by-step explanation:
The other way is to use a very accurate ruler, and measure the
distance between the two points on the paper. Alternatively, if
you have it on the computer, you can blow up the image on the
screen and measure it very precisely.
If you don't want to measure it, and you want to use the coordinates
of the points to calculate it, then any method you use is going to boil
down to the Pythagorean Theorem.
