Simplify (5x² + 3x + 4) + (2x² - 6x + 3).

Solution:

Given expression (5x² + 3x + 4) + (2x² - 6x + 3)

By performing addition operation, we get

(5x² + 2x²) + (3x - 6x ) + (4 + 3)

7x² - 3x + 7 this is a quadratic function

Hence, we use quadratic formula to find roots

x = -b ± √(b² - 4ac) / 2a

here, a = 7, b = -3 and c = 7

x = -(-3) ± √((-3)² - 4(7)(7)) / 2(7)

x = 3 ± √(9 - 196) / 14

x = 3 ± √(187i) / 14

Simplify (5x² + 3x + 4) + (2x² - 6x + 3).

Summary:

After simplification of (5x² + 3x + 4) + (2x² - 6x + 3), we got x = 3 ± √(187i) / 14.