1. C irrational
2. B Rational, integer
3. D 3.14...
Here we are given the expression:

Now let us equate it to zero to find x first,

Now subtracting 18 from the other side,

taking square root on both sides,
So we will get two values of x as ,


Now we can write square root -1 as i,
So our factors become,


Answer:
The final factored form becomes,

Step-by-step explanation:
tan⁻¹(x) = ∑ₙ₌₀°° (-1)ⁿ x²ⁿ⁺¹ / (2n+1)
tan⁻¹(1/√3) = ∑ₙ₌₀°° (-1)ⁿ (1/√3)²ⁿ⁺¹ / (2n+1)
tan⁻¹(1/√3) = ∑ₙ₌₀°° (-1)ⁿ (1/√3) (1/√3)²ⁿ / (2n+1)
tan⁻¹(1/√3) = (1/√3) ∑ₙ₌₀°° (-1)ⁿ (1/3)ⁿ / (2n+1)
π/6 = (1/√3) ∑ₙ₌₀°° (-1)ⁿ (1/3)ⁿ / (2n+1)
π = (6/√3) ∑ₙ₌₀°° (-1)ⁿ (1/3)ⁿ / (2n+1)
π = 2√3 ∑ₙ₌₀°° (-1)ⁿ / (3ⁿ (2n+1))
I think you meant 'x + 4x = -2'
Combine like terms:
5x = -2
Divide 5 to both sides:
x = -2/5 or -0.4
Solution
1) Simplify

<span> to </span>


<span>−2= </span>

+

2) Simplify

+

<span>to <span>914</span>
</span>

<span>−2= </span>

3) <span>Add 2 to both sides
</span>

=

<span>+2
</span>
4) Simplify

<span><span>+2</span> to </span>


=

5) <span>Multiply both sides by 7
</span><span>4y= </span>

<span>×7
</span>
6) Simplify

<span><span>×7</span> to </span>


=

7) Simplify

<span> to </span>


=

8) <span>Divide both sides by 4
</span>y=

<span>×4
</span>
9) <span>Simplify <span>2×4</span> to 8
</span><span>y=</span>

<span><span>
Hope this helps
</span></span>