Answer:
3
Step-by-step explanation:
The principal, real, root of:
![\sqrt[2]{3}](https://tex.z-dn.net/?f=%5Csqrt%5B2%5D%7B3%7D)
=1.73205081
All roots:
1.73205081
−1.73205081
3 is not a perfect square
Answer:
x = 3, 5
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtract Property of Equality
<u>Algebra I</u>
- Terms/Coefficients/Degrees
- Standard Form: ax² + bx + c = 0
- Multiple Roots
- Factoring
- Completing the Square: -b/(2a)
Step-by-step explanation:
<u>Step 1: Define</u>
x² - 8x + 15 = 0
<u>Step 2: Solve for </u><em><u>x</u></em>
- [Subtraction Property of Equality] Subtract 15 on both sides: x² - 8x = -15
- Complete the Square [Addition Property of Equality]: x² - 8x + 16 = -15 + 16
- [Complete the Square] Simplify: (x - 4)² = 1
- [Equality Property] Square root both sides: x - 4 = ±1
- [Addition Property of Equality] Add 4 on both sides: x = 4 ± 1
- Evaluate: x = 3, 5
18 = 2·3·3
So possibles prisms are:
2×3×3
1×2×9
1×6×3
1×1×18
Therefore Quentin can make 4 different rectangular prism with 18 unit cubes.
