Portia solved the quadratic equation x^2 + 2*sqrt(2)*x + 1 = 0 by completing the square. In the process, she came up with the equivalent equation

(x + r)^2 = s,

where r and s are constants. What is s?

Guest Oct 5, 2021

#1**+1 **

x^2 + 2*sqrt(2)*x + 1 = 0 complete the square ( take 1/2 of 'x' coefficient )

(x - sqrt2)^{2 }- 2 + 1 = 0

(x -sqrt2)^{2 }= 1

ElectricPavlov Oct 5, 2021