Answer:
x2 - 10x - 1994
Step-by-step explanation:
Step 1 :
Trying to factor by splitting the middle term
1.1 Factoring x2-10x-1994
The first term is, x2 its coefficient is 1 .
The middle term is, -10x its coefficient is -10 .
The last term, "the constant", is -1994
Step-1 : Multiply the coefficient of the first term by the constant 1 • -1994 = -1994
Step-2 : Find two factors of -1994 whose sum equals the coefficient of the middle term, which is -10 .
-1994 + 1 = -1993
-997 + 2 = -995
-2 + 997 = 995
-1 + 1994 = 1993
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Final result :
x2 - 10x - 1994
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16x² - 8x + 1 = (4x)² - 2 · 4x · 1 + 1² =(4x - 1)²
Used: (a - b)² = a² -2ab + b²
Answer:
x = -36
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
- Subtraction Property of Equality<u>
</u>
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
x + 24 = -12
<u>Step 2: Solve for </u><em><u>x</u></em>
- [Subtraction Property of Equality] Subtract 24 on both sides: x + 24 - 24 = -12 - 24
- [Subtraction] Simplify: x = -36
(18-2X)(8-2X)
Take each side and subtract 2X, then multiply them together for the area.