If A-B = 5, the square of a + the square of B = 17, then AB = a + B=

If A-B = 5, the square of a + the square of B = 17, then AB = a + B=

a²+b²=(a-b)²+2ab=17
Because A-B = 5
So: 5 & # 178; + 2Ab = 17
ab= -4
a²+b²=(a+b)²-2ab=17
(a+b)²+8=17
a+b=±3