Which quadratic equation is satisfied by both x=3+52x = \frac{3 + \sqrt{5}}{2}x=23+5 and x=3−52x = \frac{3 - \sqrt{5}}{2}x=23−5?
x2−3x+1=0x^2 - 3x + 1 = 0x2−3x+1=0
2x2−6x+1=02x^2 - 6x + 1 = 02x2−6x+1=0
x2+3x−1=0x^2 + 3x - 1 = 0x2+3x−1=0
4x2−12x+4=04x^2 - 12x + 4 = 04x2−12x+4=0