Consider the graph of the quadratic function y = 3x2 – 3x – 6. What are the solutions of the quadratic equation 0 = 3x2 − 3x − 6
2 answers:
You might be interested in
Answer:
b. -84
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
- Left to Right
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtract Property of Equality
<u>Algebra I</u>
- Terms/Coefficients
Step-by-step explanation:
<u>Step 1: Define</u>
<u /><u />
<u />
<u>Step 2: Solve for </u><em><u>a</u></em>
- Addition Property of Equality:
- [Simplify] Add:
- Multiplication Property of Equality:
- [Simplify] Multiply:
<u>Step 3: Check</u>
<em>Plug in a into the original equation to verify it's a solution.</em>
- Substitute in <em>a</em>:
- [Frac] Divide:
- Subtract:
Here we see that 5 does indeed equal 5.
∴ a = -84 is the solution to the equation.