One of the roots of a quadratic equation that has integral coefficients is −45+3√28i. Which of the following describes the quadratic equation?
ax2+bx+c=0a,b,c are real
one root is −45+ι3√28 then another root will be −45−ι3√28
Sum of roots =−85
Product of roots =(45)2+1864
=1625+932=512+225800
=757800
⇒800x2+1280x+737=0