How do you solve $5/y - 2 = y + 2$ ?

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Answer 1 · 2015-06-04T09:10:34

$5/y - 2 = y + 2$

$(5 - 2y)/y = y + 2$

cross multiplying:
$5 - 2y= y(y + 2)$

$5 - 2y= y^2 +2y$

$color(blue)(y^2 +4y - 5 = 0$

We can Split the Middle Term of this expression to factorise it and thereby find the solutions.

$y^2 +4y - 5 =y^2 +5y - y- 5$

$y(y+5) -1( y+ 5)= 0$

$color(blue)((y-1)(y+5) = 0$

the solutions for the expression are: $color(blue)(y = 1 , y = -5$

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