Final answer:
To solve the given equation, we clear the fraction by multiplying by 4, then combining like terms. After simplifying, we apply the values into the quadratic formula to find X.
Step-by-step explanation:
To solve the equation (C • X) + (1/2c)(1/4x) + 20 = 170, we need to simplify and rearrange the terms.
First, let's consolidate the constants and coefficients:
- Multiply both sides of the equation by 4 to clear the fraction:
- 4(C • X) + (1/2c) • X + 80 = 680
- Now, combine like terms:
- (4C + 1/2c)X = 680 - 80
- (4C + 1/2c)X = 600
Once the equation is simplified, we can substitute the values of a, b, and c corresponding to the equivalent quadratic equation of the form at² + bt + c = 0 and use the quadratic formula to find the value of X.