1
Move everything to the left by subtracting 25 from both sides:

Both terms are squares:
is the square of
, while 25 is the square of 5. So, we can apply the factoring

To factor the expression as

A multiplication is zero if and only if one of the factors is zero, so we have

2
The discriminant of the quadratic expression
is defined as

So, you have

3
Similarly, we have

I believe the given limit is
![\displaystyle \lim_{x\to\infty} \bigg(\sqrt[3]{3x^3+3x^2+x-1} - \sqrt[3]{3x^3-x^2+1}\bigg)](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Clim_%7Bx%5Cto%5Cinfty%7D%20%5Cbigg%28%5Csqrt%5B3%5D%7B3x%5E3%2B3x%5E2%2Bx-1%7D%20-%20%5Csqrt%5B3%5D%7B3x%5E3-x%5E2%2B1%7D%5Cbigg%29)
Let

Now rewrite the expression as a difference of cubes:

Then

The limit is then equivalent to

From each remaining cube root expression, remove the cubic terms:



Now that we see each term in the denominator has a factor of <em>x</em> ², we can eliminate it :


As <em>x</em> goes to infinity, each of the 1/<em>x</em> ⁿ terms converge to 0, leaving us with the overall limit,

Answer:
E
Step-by-step explanation:
fire + gas = bigger fire
Answer:
Distance = 5
Step-by-step explanation:
x2 = 3
y2 = 1
x1 = 7
y1 = -2
=> d = Square root of (3 - 7)^2 + (1 + 2)^2
=> d = Square root of (-4)^2 + (3)^2
=> d = Square root of 16 + 9
= d = Square root of 25
d = 5