Solve by the quadratic formula:

-x squared + 16=6x + 1

x = - 3 ± 2√6

Step-by-step explanation:

-x² + 16 = 6x + 1

0 = x² + 6x - 15

Quadratic formula:

x = [ - b ± √ (b² - 4ac) ] / 2a

x = [ - 6 ± √ (6² - 4 (1) (-15)) ] / 2 (1)

x = [ - 6 ± √ (36 + 60) ] / 2

x = (-6 ± √96) / 2

x = (-6 ± 4√6) / 2

x = - 3 ± 2√6