Question

(x + 1)2 = 2(x - 3) check whether quadratic equation ​

Answer 1

Answer:

it's not

Step-by-step explanation:

(x-1)2 = 2(x-3)

2x-2 = 2x-6

-2= -6

hence it is not a quadratic equation

Answer 2

Answer:

$\huge{\dag}{\underline{\boxed{\sf{\purple{Answer:- }}}}}$

$\small\underline\mathcal\red{ Given \: Quadratic \: Equation:-}$

$(x + {1})^{2} = 2(x - 3)$

${\underline{\boxed{\sf{\pink{\mathtt{Requried \: Solution:-}}}}}}$

$(x + {1})^{2} = 2(x - 3) \\ Using \: identity \: (a + b) ² = a² + b² = 2ab \\x²+1²+2×x×1= \: 2(x-3) \\ x²+1+2x= 2x - 6 \\ x²+1+2x - 2x + 6 =0 \\ x²+1+ 6 = 0 \\ x² + 7 = 0 \\ x² + 0 x + 7 = 0$

Since, it is of the form ax²+bx+c = 0

where a = 1 b = 0 c = 7

Hence it is a quadratic equation.