To complete the square, the second degree term must have a coefficient of 1.
Since the second degree term here has a coefficient of 4, we start by dividing each term on both sides by 4.



Now we can complete the square.
First, we need to find what number completes the square.
We take the coefficient of the first degree term, -7 in this case.
Divide it by 2 and square it. -7 divided by 2 is the fraction -7/2.
Now we square -7/2 to get 49/4.
We add 49/4 to both sides.



Not A for sure but I’m not positive which other one it would be.
Answer:
K = 42
Step-by-step explanation:
K/2 = 21
2* k/2 =2*21
k=42
Answer:
X=6
Step-by-step explanation:
It is under enlargement and reduction
Therefore we can equates sides because of the parallel lines

Cross multiply

dividing through by 12

simplify

Answer:
C) 
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Standard Form: ax² + bx + c = 0
- Quadratic Formula:

Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
5x² - 3x - 7 = 0
↓
<em>a</em> = 5, <em>b</em> = -3, <em>c</em> = -7
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute in variables [Quadratic Formula]:

- [√Radical] Evaluate exponents:

- [√Radical] Multiply:

- [√Radical] Add:

- [Fraction] Multiply:
