Question

Compare the given equation with $a{y}^2+by+c=0$ and select correct values of $a,b$ and $c$.

$y-\frac{5}{y}=3y-7$

• A. $a=2,b=-7,c=-5$
• B. $a=2,b=-7,c=5$
• C. $a=-2,b=-7,c=5$
• D. $a=2,b=-5,c=7$

Answer 1

The correct option is B $a=2,b=-7,c=5$

Given equation is,

$y-\frac{5}{y}=3y-7$

$\Rightarrow \frac{y^2-5}{y}=3y-7$

$\Rightarrow y^2-5=3y^2-7y$

$\Rightarrow -2y^2+7y-5=0$

$\Rightarrow 2y^2-7y+5=0$

Compare the equation, with the standard form: $a{x}^2+bx+c=0$

$a=2,b=-7andc=5$