Answer:
p1 = √86 - 8
p2 = -√86 - 8
Step-by-step explanation:
check:
p² + 16p - 22 = 0
p1 = -√86 - 8
(-√86 - 8)² + 16(-√86 - 8) - 22 = 0
86 + 16√86 + 64 - 16√86 - 128 - 22 = 0
86 + 64 - 128 - 22 = 0
150 - 128 - 22 = 0
22 - 22 = 0
0 = 0
p2 = √86 - 8
(√86 - 8)² + 16(√86 - 8) - 22 = 0
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Answer:
p1 = √86 - 8
p2 = -√86 - 8
Step-by-step explanation:
check:
p² + 16p - 22 = 0
p1 = -√86 - 8
(-√86 - 8)² + 16(-√86 - 8) - 22 = 0
86 + 16√86 + 64 - 16√86 - 128 - 22 = 0
86 + 64 - 128 - 22 = 0
150 - 128 - 22 = 0
22 - 22 = 0
0 = 0
p2 = √86 - 8
(√86 - 8)² + 16(√86 - 8) - 22 = 0
86 + 16√86 + 64 - 16√86 - 128 - 22 = 0
86 + 64 - 128 - 22 = 0
150 - 128 - 22 = 0
22 - 22 = 0
0 = 0