Question

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

$y^2=5-\sqrt{7}y$

• A. $a=1,b=-\sqrt{7},c=5$
• B. $a=1,b=-\sqrt{7},c=-5$
• C. $a=1,b=-5,c=-\sqrt{7}$
  
• D. $a=1,b=\sqrt{7},c=-5$

Answer 1

The correct option is D $a=1,b=\sqrt{7},c=-5$

Given equation is:

$y^2=5-\sqrt{7}y$

$\therefore y^2+\sqrt{7}y-5=0$

Comparing the equation $y^2+\sqrt{7}y-5=0$ with standard form

$a{y}^2+by+c=0$

then, $a=1,b=\sqrt{7}$ and $c=-5$