[tex]\begin{gathered} \text{ x}^2\text{ - 12x + 34 = 0} \\ x^2\text{ - 12x = 34} \\ x^2-12x+(6)^2=34+(6)^2 \\ x^2\text{ - 12x + 36 = 34 + 36} \\ (x-6)^2\text{ = 70} \\ (x\text{ - 6) = }\sqrt[]{70} \\ x\text{ - 6 = }\pm\text{8.37} \\ x_1\text{ = 8.37 + 6 = 14.37} \\ \\ x_2\text{ = -8.37 + 6 = -2.37} \end{gathered}[/tex]
The answers are x1 = 14.37 and x2 = -2.37
x1 is the positive and x2 is the negative
There are two solutions x1 = 14.37, x2 = -2.37