Question

Solve the equation for all real solutions.
k^2+8k+22=6

Answer 1

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`{k}^(2) + 8k + 22 = 6`

Subtract sides 6

`{k}^(2) + 8k + 22 - 6 = 6 - 6`

`{k}^(2) + 8k + 16 = 0`

`({k + 4})^(2) = 0`

Thus ;

`k + 4 = 0`

Subtract sides 4

`k + 4 - 4 = - 4`

`k = - 4`

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