Final answer:
The quadratic formula is −b ± √(b² − 4ac) / (2a), used to solve the quadratic equation ax² + bx + c = 0 for its roots.
Step-by-step explanation:
The correct form of the quadratic formula is neither A) nor B), C), or D). The complete and correct formula, which is used to find the solutions for a quadratic equation of the form ax² + bx + c = 0, is given by:
x = −b ± √(b² − 4ac) / (2a)
Here, 'a', 'b', and 'c' represent the coefficients of the quadratic equation. When you substitute the values of 'a', 'b', and 'c' from a specific equation into this formula, you will obtain two solutions, which are the roots of the quadratic equation. For example, using the coefficients from the quadratic equation at² + bt + c = 0, with a = 4.90, b = -14.3, and c = -20.0, this formula will yield the two solutions for 't'.