Solve the system below and explain what your solution repres

Solve the system below and explain what your solution represents. y = 3x^2 - 15x + 23 and y = -x^2 + 5x - 1

Solution

Y = 3X^2 - 15X + 23

Y = -x^2 + 5x - 1

=> solving both

3X^2 - 15X + 23 = -X^2 + 5X - 1

=> 4X^2 - 20X + 24 = 0

=> X^2 - 5X + 6 = 0

=> X = -3, -2

solutions are root of quadratic equation