Multiple choice

Roots of the equation is $x^{4} - 2x^{3} + x = 380$.

  1. $5$
  2. $-4$
  3. $\dfrac {1\pm \sqrt {-75}}{2}$
  4. All of the above

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The equation is x^4 - 2x^3 + x - 380 = 0. Testing x=5: 625 - 250 + 5 - 380 = 0. So 5 is a root. Testing x=-4: 256 - 2(-64) - 4 - 380 = 256 + 128 - 384 = 0. So -4 is a root. Since multiple options are roots, 'All of the above' is the intended answer.