Answer: A
Step-by-step explanation:
The polynomial has roots at .
So, the equation should have factors of .
This eliminates everything except for A.
The domain is the X coordinates.
The bottom black dot is on X =-4 and the top black dot is on X = 6.
Because the dots are solid black, this means the X coordinate is part of the solution ( equal to).
This means the domain is greater than or equal to -4 and less than or equal to 6
which would be written as -4=< x<=6
<span>A=(2t+1)t^1/2 differentiate both sides w.r.t t to get the solution</span>
Step-by-step explanation:
Let √x - 1/√x = a
Squaring both the sides,
x + 1/x - 2 = a^2
Putting the value,
3–2√2 + 1/(3–2√2) - 2 = a^2
a^2 = 1 - 2√2 + 1/(3–2√2)
= [(3–2√2) (1–2√2) + 1] / 3–2√2
= {3 - 8√2 + 9} / 3–2√2
= [12 - 8√2] / 3–2√2
Rationalising both the sides
= {(12 - 8√2)(3+2√2)} ÷ (9–8)
= 36 + 24√2 - 24√2 + 16(2)
= 36 - 32
=> 4
a^2 = 4
a = √4
a = 2, -2
So,
√x - 1/√x = a = 2, -2.