Suppose a,b,c are three real numbers, such that the quadratic equation x²-(a+b+c)x + (ab+bc+ac) = 0has roots of the form d±ie where d>0 and e≠0 are real numbers [ here i = √-1 ]. Show that (I) the numbers a, b and c are all positive.(II) the numbers √a , √b, √c, form the sides of triangle.

Suppose a,b,c are three real numbers, such that the quadratic equation

1.	Suppose a,b,c are three real numbers, such that the quadratic equation x²-(a+b+c)x + (ab+bc+ac) = 0has roots of the form d±ie where d>0 and e≠0 are real numbers [ here i = √-1 ]. Show that (I) the numbers a, b and c are all positive.(II) the numbers √a , √b, √c, form the sides of triangle.
Answer» Suppose a,b,c are three real numbers, such that the quadratic equation x²-(a+b+c)x + (ab+bc+ac) = 0 has roots of the form d±ie where d>0 and e≠0 are real numbers [ here i = √-1 ]. Show that (I) the numbers a, b and c are all positive. (II) the numbers √a , √b, √c, form the sides of triangle.