Question

Complete the square to solve the following quadratic equation: x2−22x+1=15
.(1 point)
Responses

x=11+14−−√, 11−14−−√
x equals 11 plus Start Root 14 End Root comma 11 minus Start Root 14 End Root

x=11+315−−√, 11−315−−√
x equals 11 plus 3 Start Root 15 End Root comma 11 minus 3 Start Root 15 End Root

x=−11+14−−√, −11−14−−√
x equals negative 11 plus Start Root 14 End Root comma negative 11 minus Start Root 14 End Root

x=−11+315−−√, −11−315−−√

Answer 1

(x - 11)^2 = 135, so x - 11 = ±√135 = ±3√15.
Thus x = 11 ± 3√15.

(Second choice.)