How do you solve $15/p+p=16$ ?

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Answer 1 · 2018-08-04T12:12:13

$p=1 or p=15$

Here ,

$15/p+p=16$

Multiplying by $p$ both sides

$p(15/p+p)=p(16)$

$:.15+p^2=16p$

Adding (-16p) both sides

$15+p^2+(-16p)=16p+(-16p)$

$15+p^2-16p=0$

$p^2-16p+15=0$

Now ,

$(-15)+(-1)=-16 and (-15) xx (-1)=15$

So,

$p^2-15p-p+15=0$

$p(p-15)-1(p-15)=0$

$(p-15)(p-1)=0$

$p-15=0 or p-1=0$

$p=15 or p=1$

How do you solve 15/p+p=1615/p+p=16?