Question

20 POINTS
Solve the following quadratic by completing the square

Answer 1

x = -1 ±
`√(7)`

Explanation:

`x^(2)` + 2x - 6 = 0 Add 6 to both sides

`x^(2)` + 2x = -6

`(2)/(2) ^(2)` = 1 Add 1 to both sides

`x^(2)` + 2x + 1 = 7

`(x + 1)^(2)` = 7

`\sqrt{(x+1)^(2) }` = ±
`√(7)`

x + 1 = ±
`√(7)` Subtract 1 from both sides

x = -1 ±
`√(7)`

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