127k views
25 votes
1

What is the solution to the equation n-5
2 16
*+5 12 - 25?
Oh=
11
3
Oh=5
O h=7
21
Oh=
2

1 What is the solution to the equation n-5 2 16 *+5 12 - 25? Oh= 11 3 Oh=5 O h=7 21 Oh-example-1

1 Answer

6 votes

Solution


\begin{aligned}(1)/(h-5)+(2)/(h+5)&=(16)/(h^2-25)\\((h+5)+2(h-5))/((h-5)(h+5))&=(16)/(h^2-25)\\(h+2h+5-10)/(h^2-25)&=(16)/(h^2-25)\\\frac{3h-5}{\cancel{h^2-25}}&=\frac{16}{\cancel{h^2-25}}\\3h-5&=16\\3h&=16+5\\3h&=21\\h&=(21)/(3)\\h&=7\end{aligned}

User HGomez
by
3.9k points