Question

Solve by the quadratic formula:
-x squared +16=6x +1

Answer 1

x = -3 ± 2√6

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