Question

Check whether the equation is quadratic (x+1)square =2(x+3)

Answer 1

$\sf \pink{ Question:-}$

$\footnotesize \sf{ Check \: whether \: the \: equation \: is \: quadratic \: (x+1)^{2} \: = \: 2(x+3)}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \:$

$\sf \pink{ Solution:-}$

$\: \: \: \: \: \: \: \: \: \: \: \: \:$

$\pink \hookrightarrow\footnotesize \sf{ {(x + 1)}^{2} = 2(x + 3)}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \:$

$\footnotesize \sf \pink{ {(a + b)}^{2} = {a}^{2} + 2ab + { b }^{2} }$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \:$

$\pink \hookrightarrow\footnotesize \sf{ {x}^{2} + 2x + {1}^{2} = 2x + 6}$

$\pink \hookrightarrow \footnotesize \sf{ {x}^{2} + 2x +1 = 2x + 6}$

$\pink \hookrightarrow\footnotesize \sf{ {x}^{2} + 2x - 2x +1 - 6 = 0}$

$\pink \hookrightarrow \footnotesize \sf{ {x}^{2} + \cancel{ 2x } - \cancel{2x }+1 - 6 = 0}$

$\pink \hookrightarrow\footnotesize \sf{ {x}^{2} - 5 = 0}$

$\: \: \: \: \: \: \: \: \: \: \: \:$

$\footnotesize\bigstar\footnotesize \sf\pink{ \: Quadratic \: polynomial : A \: polynomial \: whose \: degree \: is \: 2 \: }$

$\: \: \: \: \: \: \: \: \: \: \: \: \:$

$\footnotesize\bigstar \footnotesize \sf\pink{ \: This \: polynomial \: also \: has \: degree \: 2 \: }$

$\footnotesize\bigstar \footnotesize \sf\pink{ \: That's \: means \: it \: is \: a \: quadratic \: polynomial }$

Answer 2

Step-by-step explanation:

$\sf \pink{ Question:-}$

$\footnotesize \sf{ Check \: whether \: the \: equation \: is \: quadratic \: (x+1)^{2} \: = \: 2(x+3)}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \:$

$\sf \pink{ Solution:-}$

$\: \: \: \: \: \: \: \: \: \: \: \: \:$

$\pink \hookrightarrow\footnotesize \sf{ {(x + 1)}^{2} = 2(x + 3)}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \:$

$\footnotesize \sf \pink{ {(a + b)}^{2} = {a}^{2} + 2ab + { b }^{2} }$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \:$

$\pink \hookrightarrow\footnotesize \sf{ {x}^{2} + 2x + {1}^{2} = 2x + 6}$

$\pink \hookrightarrow \footnotesize \sf{ {x}^{2} + 2x +1 = 2x + 6}$

$\pink \hookrightarrow\footnotesize \sf{ {x}^{2} + 2x - 2x +1 - 6 = 0}$

$\pink \hookrightarrow \footnotesize \sf{ {x}^{2} + \cancel{ 2x } - \cancel{2x }+1 - 6 = 0}$

$\pink \hookrightarrow\footnotesize \sf{ {x}^{2} - 5 = 0}$

$\: \: \: \: \: \: \: \: \: \: \: \:$

$\footnotesize\bigstar\footnotesize \sf\pink{ \: Quadratic \: polynomial : A \: polynomial \: whose \: degree \: is \: 2 \: }$

$\: \: \: \: \: \: \: \: \: \: \: \: \:$

$\footnotesize\bigstar \footnotesize \sf\pink{ \: This \: polynomial \: also \: has \: degree \: 2 \: }$

$\footnotesize\bigstar \footnotesize \sf\pink{ \: That's \: means \: it \: is \: a \: quadratic \: polynomial }$

muskan Singh ❤️