Question

Form a quadratic equation sum of whose roots is 5 and one of the roots is 5−3√3/2.​

Answer 1

Step-by-step explanation:

Let 'm' and 'n' be the roots ∴m=3+25 and n=3−25

Sum of the roots =m+n=3+25+3−25∴m+n=6

Product of the roots =mn=(3+25)(3−25)=(3)2−(25)2=9−20∴mn=−11

x2−(m+n)x+mn=0∴x2−6x−11=