Find the roots of the equation 2x22 - 7x + 6 = 0. Hence factorize 2x22 - 7x + 6.. Created by SakuraNaomi. Math

Find the roots of the equation 2x22 - 7x + 6 = 0. Hence factorize 2x22

$\huge\color{red} {\boxed{\tt{A}}}\color{orange}{\boxed{\tt{N}}}\color{yellow}{\boxed{\tt{S}}}\color{green}{\boxed{\tt{W}}}\color{blue}{\boxed{\tt{E}}}\color{violet}{\boxed{\tt{R}}}$

Here, the equation is 2x22 - 7x + 6 = 0

⟹ 2x22 - 4x - 3x + 6 = 0

⟹ 2x(x - 2) - 3(x - 2) = 0

⟹ (x - 2)(2x - 3) = 0

⟹ x - 2 = 0 or 2x - 3 = 0

⟹ x = 2 or x = 3232

Therefore, 2x22 - 7x + 6 = 2(x - 2)(x - 3232) = (x - 2)(2x - 3)

$\huge\purple{\overline{\quad\quad\quad\quad\quad\quad\quad\quad\quad \ \ \}}}$

⚘ ᴄʜᴇꜱᴋᴀ ⚘

“ɴᴇᴠᴇʀ ꜱᴛᴏᴘꜱ ʟᴇᴀʀɴɪɴɢ, ʙᴇᴄᴀᴜꜱᴇ ʟɪꜰᴇ ɴᴇᴠᴇʀ ꜱᴛᴏᴘꜱ ᴛᴇᴀᴄʜɪɴɢ”

WildBallerina

$\huge\color{red} {\boxed{\tt{A}}}\color{orange}{\boxed{\tt{N}}}\color{yellow}{\boxed{\tt{S}}}\color{green}{\boxed{\tt{W}}}\color{blue}{\boxed{\tt{E}}}\color{violet}{\boxed{\tt{R}}}$

Here, the equation is 2x22 - 7x + 6 = 0

⟹ 2x22 - 4x - 3x + 6 = 0

⟹ 2x(x - 2) - 3(x - 2) = 0

⟹ (x - 2)(2x - 3) = 0

⟹ x - 2 = 0 or 2x - 3 = 0

⟹ x = 2 or x = 3232

Therefore, 2x22 - 7x + 6 = 2(x - 2)(x - 3232) = (x - 2)(2x - 3)

$\huge\purple{\overline{\quad\quad\quad\quad\quad\quad\quad\quad\quad \ \ \}}}$

⚘ ᴄʜᴇꜱᴋᴀ ⚘

“ɴᴇᴠᴇʀ ꜱᴛᴏᴘꜱ ʟᴇᴀʀɴɪɴɢ, ʙᴇᴄᴀᴜꜱᴇ ʟɪꜰᴇ ɴᴇᴠᴇʀ ꜱᴛᴏᴘꜱ ᴛᴇᴀᴄʜɪɴɢ”

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⚘ ᴄʜᴇꜱᴋᴀ ⚘

⚘ ᴄʜᴇꜱᴋᴀ ⚘

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