Answer:
Solve the equation:
- 2x² − 4x + 16 = 0
- x² - 2x + 8 = 0
- x² - 2x + 1 + 7 = 0
- (x - 1)² + 7 = 0
- (x - 1)² = -7
There is no solution as the square of the number can't be negative
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Note if the equation was 2x² - 4x - 16 = 0, the solution would be:
- 2x² - 4x - 16 = 0
- x² - 2x - 8 = 0
- x² - 2x + 1 = 9
- (x - 1)² = 3²
- x - 1 = ± 3
- x = -2, x = 4
In this case x = -2 is the correct choice
