If three times x is equal to x decreased by 2, then x is

Let's divide the sentence to translate it to a mathematical language:

"Three times x" means 3x.
"x decreased by 2" means x - 2

"Three times x is equal to x decreased by 2" means 3x = x - 2

Let's solve for x:
3x = x - 2

Subtract x from both sides:
3x - x = x - x - 2
2x = -2

Divide both sides by 2:
2x = -2
(2x)/2 = -2/2
x = -1

Hope this helps! :)

The answer is 60.9774

x^2 + 81

we can factor this using difference of square binomials.

rewrite the equation:

x^2 - (-81)

factor:

(a^2 - b^2) = (√a^2 + √b^2)(√a^2 - √b^2)

(x^2 - (-81) = (x + √-81)(x - √-81)

we can remove the - from under the radical by multiplying it by i.

(x^2 - (-81) = (x + i√81)(x - i√81)

(x^2 - (-81) = (x + 9i)(x - 9i)

(x + 9i)(x - 9i)

we can check our answer by using foil:

x^2 - 9ix + 9ix - 81i^2

x^2 - 81^2

i^2 = -1

x^2 + 81