Final answer:
The question asks to solve a system of equations using coordinates, which implies the use of the quadratic formula. The information provided is incomplete, but the quadratic formula is -b ± √(b² - 4ac) / (2a), which can be applied to specific values of a, b, and c to find solutions that can be expressed as coordinates.
Step-by-step explanation:
To solve the system of equations and find the correct solution as a coordinate, we typically use the quadratic formula, which is given by:
x = −b ± √(b² − 4ac) / (2a)
However, the provided information seems to be out of context or incomplete because there is no clear system of equations stated. Assuming the system involves a quadratic equation, we can demonstrate how to use the quadratic formula with the general form at² + bt + c = 0 where a, b, and c are constants.
For example, if we have a quadratic equation with constants a = 4.90, b = 14.3, and c = -20.0, plugging these values into the quadratic formula yields:
x = −(14.3) ± √((14.3)² − 4(4.90)(− 20.0)) / (2(4.90))
This calculation would give us the solutions to the quadratic equation, which can then be written as coordinates. Remember to calculate both positive and negative roots using the ± symbol, which represents the two possible solutions for x.