Question

Jika xy=a^2, buktikan 1/(a+x) + 1/(a+y) = 1/a

Answer 1

Buktikan ,1/(a+x) + 1/(a+y) =1/a
{(a+x) + (a+y)}/(a+x)(a+y) =1/a
{(a+x) + a+y}/(a² +ax+ay +xy) = 1/a
(2a + x +y)/(a² + ax +ay + a²) =1/a
(2a + x + y)/(2a² +a(x + y)) =1/a
(2a + x +y)/{(a)(2a +x +y)} = 1/a
1/a =1/a ( terbukti)

(2a + x + y) bisa di coret