Final answer:
The equation −75x+250=0 solves to x = 10/3 when simplified linearly. Since this answer does not match any of the provided multiple-choice options and the concept of 'equal roots' is mentioned, there may be an error in the provided equation. In a true quadratic equation, we would use the quadratic formula to find the roots. the solution is x = 10/3, which does not match any of the options provided (a-d).
Step-by-step explanation:
To solve the equation −75x+250=0, we can start by moving the term -75x to the other side of the equation. As this is a linear equation, rather than a quadratic equation (which has the standard form ax² + bx + c = 0), we do not need to use the quadratic formula here.
Your equation simplifies to:
- -75x = -250
- x = −250 / -75
- x = 250 / 75
- x = 10/3
However, since none of the provided options include 10/3, we need to consider that the equation may have been incorrectly provided. Given that the question mentions the concept of 'roots' and implies a quadratic equation, it's possible there was an error in the transcription of the original problem.
If the correct equation indeed had a quadratic form, we would apply the quadratic formula to find the roots. However, for this linear equation, the solution is x = 10/3, which does not match any of the options provided (a-d).