Question

Check whether the following are quadratic equation or not.....

Answer 1

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

X2+2x+1=2x-6

x2+2x+1-2x+6

x2+7

so the equation is pure quadratic

Answer 2

$\huge\tt\red{{(x+1)}^{2}=2(x-3)}$

$\longrightarrow$$\large\tt\purple{{x}^{2} + 2x + 1 = 2x - 6}$

$\longrightarrow$$\large\tt\purple{{x}^{2} + 2x + 1 - 2x + 6 = 0}$

$\longrightarrow$$\large\tt\purple{{x}^{2} + 7 = 0}$

$\therefore$$\small\sf\underline\orange{Yes,\:it\:is\:a\:quadratic\:equation}$