Question

An equation with real coefficients has 1-i, 3 and 4 among it's roots. What is the lowest possible degree of the equations?

Answer 1

if (1-i) then also (1+i)
x^2 --> 2 roots
x^3 ---> 3 roots
we have 4 roots so x^4

Answer 2

An open-top rectangular box has a square base and it will hold 256 cubic centimeters(cc). Each side has length x cm and height y cm. The box's surface area is given by S(x)=1024/x +x^2. Estimate the minimum surface area and the value of x that will yield it.