Question

solve..
$(y - 3) = y {}^{2} - 9$
​

Answer 1

Y-3=Y^2-9

Y-3=Y^2-3^2

Y-3 IS NOT EQUAL TO (Y-3)(Y+3)

Answer 2

$\large\underline\mathfrak{Answer-}$

$\boxed{\tt{y=2\:or\:-3}}$

$\large\underline\mathfrak{Explanation-}$

Given expression :

• $\tt{(y-3)=y^2-9}$

To find :

• Value of $\bold{y}$

Solution :

$\tt{(y-3)=y^2-9}$

$\implies$ $\tt{y-y^2=-9+3}$

$\implies$ $\tt{y-y^2=-6}$

$\implies$ $\tt{-y^2+y+6=0}$

$\implies$ $\tt{y^2-y-6=0}$

By splitting middle term,

$\implies$ $\tt{y^2+3y-2y-6=0}$

$\implies$ $\tt{y(y+3)-2(y+3)=0}$

$\implies$ $\tt{(y+3)(y-2)=0}$

$\implies$ $\tt{y+3=0\:and\:y-2=0}$

$\boxed{\tt{y=2\:or\:-3}}$

$\rule{200}2$