Find All Real Solutions of the Polynomial Equation X⁴ - $\pm \sqrt { 6 }$

Multiple Choice

Find all real solutions of the polynomial equation x⁴ - 7x³ + 42x - 36 = 0.

A) x = 1, 6, $\pm \sqrt { 6 }$
B) x = 1, 36
C) x = 1, $\pm \sqrt { 6 }$
D) x = 1, -7, -6
E) x = 1, -36, 12