Answer:
x = 1
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define Equation</u>
3(4x - 5) - 4x + 1 = -6
<u>Step 2: Solve for </u><em><u>x</u></em>
- Distribute 3: 12x - 15 - 4x + 1 = -6
- Combine like terms: 8x - 14 = -6
- Isolate <em>x</em> term: 8x = 8
- Isolate <em>x</em>: x = 1
<u>Step 3: Check</u>
<em>Plug in x into the original equation to verify it's a solution.</em>
- Substitute in <em>x</em>: 3(4(1) - 5) - 4(1) + 1 = -6
- Multiply: 3(4 - 5) - 4 + 1 = -6
- Subtract: 3(-1) - 4 + 1 = -6
- Multiply: -3 - 4 + 1 = -6
- Subtract: -7 + 1 = -6
- Add: -6 = -6
Here we see that -6 does indeed equal -6.
∴ x = 1 is the solution to the equation.
PEMDAS
12-14=-2
-2-5=-7
-7-9=-16
-16-4=-20
-20 is the answer
Fractal Generating Function, is
f(z)=z²-3+2i
⇒f(0)=0²-3+2i
f(0)= -3+2i
⇒f(-3+2i)
=(-3+2i)²-3+2i
=9-4-12 i-3+2i
=2-10 i
⇒f(2-10i)
=(2-10i)²-3+2i
=4-100-40i-3+2i
= -38 i-99
So, First three output values of the fractal generating function are
1.⇒ -3+2i
2. ⇒ 2-10 i
3.⇒-38 i -99