SOLVE THE QUADRATIC EQUATION
Answer:
[tex]x = 1 + \sqrt{7} i \\ x = 1 - \sqrt{7} i[/tex]
Explanation:
[tex]x {}^{2} - 2x + 8 = 0[/tex]
[tex](x - 1) {}^{2} + 8 - 1 {}^{2} = 0[/tex]
[tex](x - 1) {}^{2} = 8 - 1 {}^{2} = 0[/tex]
[tex](x - 1) {}^{2} = - 8 + 1 {}^{2} [/tex]
[tex](x - 1) {}^{2} = - 8 + 1[/tex]
[tex](x - 1) {}^{2} = - 7[/tex]
x - 1 = ± √-7
x = ±√7i + 1
[tex]x = 1 + \sqrt{7} i \\ x = 1 - \sqrt{7} i[/tex]
