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

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step-by-step explanation: