### Home > A2C > Chapter 11 > Lesson 11.2.5 > Problem 11-103

11-103.

Find the solutions to the system below. The solutions may be real or complex. Homework Help ✎ *y* = *x*^{2} + 2*x* + 5

*y* = 2*x*^{2} + 4*x +* 7

−2(*y* = *x*^{2} + 2*x* + 5) → −2*y* = −2*x*^{2} − 4*x* − 10

*y* = 2*x*^{2} + 4*x* + 7

−*y* = −3*y* = 3

Use substitution to find *x*.

(3) = *x*^{2} + 2*x* + 5

0 = *x*^{2} + 2*x* + 2

Use the quadratic formula.

(−1 + *i*, 3) and (−1 − *i*, 3)