Question

Dik.a² + b² + 4ab,tentukan nilai a+b/a-b

Answer 1

A²+b²=(a+b)²-2ab/(a-b)²+2ab

(a+b)²-2ab=4ab⇒(a+b)(a+b)=6×ab⇒6(a+b)=ab(a+b),. (a+b)nya hilang, jadi ab = 6

(a+b)²=6²⇒ a+b=6

(a-b)²+2ab=4ab⇒(a-b)²=2×6⇒a-b=√12⇒ a-b=2√3