Question

The difference of roots is 9 and the sum of their their square is 13, find the quadratic equation

Answer 1

Step-by-step explanation:

let A and B be the roots of the equation

A-B=9

A²+B²=13

quadratic equation x²-(A+B)x+AB?

(A-B)²=A²+B²-2AB

(9)²=(13)-2AB

81-13/-2=AB

68/-2=AB

AB=-34

(A+B)²=A²+B²+2AB

=13+2(-34)

(A+B)²=(13+-68)

(A+B)²=(-55)

A+B=√-55

√-1 = ¡

A+B=√55¡

so.

the quadratic equation will be

x²-√55 ¡x-34