Question

(x-1) (x+2)=(x-3) (x+1) is a quadratic equation ​

Answer 1

$\;\;\underline{\textbf{\textsf{ Given:-}}}$

• $\sf (x-1)(x+2)\:=\:(x-3)(x+1)$

$\;\;\underline{\textbf{\textsf{ To Find :-}}}$

• Whether it is quadratic equation or not.

$\;\;\underline{\textbf{\textsf{ Solution :-}}}$

$\underline{\:\textsf{Let's try to know about quadratic equation :}}$

• Quadratic equation is an equation of degree 2.

•The standard form of a quadratic is y

$\sf\:\:=\:{ax}^{2}\: +\: bx\: + \:c, \:where \:a, \:b, \:and\: c \:are \:numbers \:and \:a \:≠\: 0.$

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Here,

⟶$\sf (x-1)(x+2)\:=\:(x-3)(x+1)$

$\sf x(x+2)\:-\:1(x+2)\:=\:x(x+1)\:-\:3(x+1)$

$\sf x²\:+\:2x\:-\:x\:-\:2\:=\:x²\:+\:x\:-\:3x\:-\:3$

⟶$\sf x\:-\:2\:=\:2x\:-\:3$

⟶$\sf 2x\:+\:x\:=\:-3\:+\:2$

⟶$\sf 3x\:=\:-1$

⟶$\sf x\:=\: \dfrac{-1}{3}$

$\;\;\underline{\textbf{\textsf{ Hence-}}}$

It can be said that the given equation is not a quadratic equation .

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