Question

check whether y(y+7)+9 =(y+7) (y-7) form a quadratic equation​

Answer 1

✨ Question :-

Check whether following forms a quadratic equation or not :-

$\sf \: y(y + 7) + 9 = (y + 7)(y - 7)$

✨ Solution :-

$\pink \star~~ \sf y(y + 7)+9=(y + 7)(y - 7)$

$\pink \star ~~\sf y^2+7y+9=y^2-49$

$\pink \star ~~\sf y^2-y^2 + 7y + 9 + 49 = 0$

$\pink \star ~~\sf 7y+58=0$

$\green {\therefore \sf y(y + 7) + 9 = (y+7)(y-7)~is~not ~a~quadratic~equation. }$

It is not a quadratic polynomial because it is not in the standard form of quadratic equation.

$\sf \underline \blue {Standard ~form~of~quadratic~equation:-} \\ \sf \red {ax^2+bx+c=0}$

_________________________

$\Large \orange \mapsto \sf \pink {@Sita05}$

Note :- Swipe the answer right to left for viewing the complete answer.

Answer 2

answer:

y(y+7)+9=(y+7)(y-7)

explanation:

y^2+7y+9=y^2-49

y^2-y^2+7y+9+49=0

7y+58=0

hence it is not in a form of quadratic polynomial so no equation can be formed