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- TL;DR Summary
- Is it possible to add an unknown or co-efficient to make an unsolvable system of equation solvable???

The point (1, 5) is on the curve: y=ax^2+bx+c. This point gives the linear equation: 5 = a + b + c. A second point on the curve, (2, 10) gives the linear equation 10=4a+2b+c. A student called Erika thinks that the point (2, 19) is also on the curve.

5 = a + b + c.

10=4a+2b+c

19=4a+2b+c

the system of equations is unsolvable, but I have been told that there is a way to add another unknown or co-efficient to make it possible to answer the question. Does anyone have any ideas?

5 = a + b + c.

10=4a+2b+c

19=4a+2b+c

the system of equations is unsolvable, but I have been told that there is a way to add another unknown or co-efficient to make it possible to answer the question. Does anyone have any ideas?