a = (5*62,3933 – 130*1,43633) / (5*5700 – (130) ²)

Let's break down the expression step by step and solve for \( a \):

\[
a = \frac{(5 \times 62.3933) - (130 \times 1.43633)}{(5 \times 5700) - 130^2}
\]

### Numerator:
\[
\text{Numerator} = (5 \times 62.3933) - (130 \times 1.43633)
\]

1. \( 5 \times 62.3933 = 311.9665 \)
2. \( 130 \times 1.43633 = 186.7229 \)

\[
\text{Numerator} = 311.9665 - 186.7229 = 125.2436
\]

### Denominator:
\[
\text{Denominator} = (5 \times 5700) - 130^2
\]

1. \( 5 \times 5700 = 28500 \)
2. \( 130^2 = 16900 \)

\[
\text{Denominator} = 28500 - 16900 = 11600
\]

### Now calculate \( a \):
\[
a = \frac{125.2436}{11600} = 0.0108
\]

So, \( a \approx 0.0108 \).

Would you like further explanation or more details on this? Here are five related questions to explore:

1. How does changing the coefficients in the equation affect the result?
2. What would happen if the denominator approached zero?
3. Can this calculation be simplified further using factoring techniques?
4. How would you approach solving this equation using a calculator?
5. How can this formula be applied in a real-world context?

**Tip:** Always simplify the numerator and denominator separately before dividing to avoid errors in complex calculations.

a = (5*62.3933 – 130*1.43633) / (5*5700 – (130)²)

Learn how to calculate a rational expression step-by-step: a = (5 * 62.3933 – 130 * 1.43633) / (5 * 5700 – 130^2). This problem involves basic algebraic operations, multiplication, subtraction, and division. Suitable for high school students in Grades 10-12.

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