We know that the quadratic equation whose roots are α, β and γ, is
(x – α)(x – β)(x - γ) = 0
Therefore, the required equation is (x – 2)(x - √3){x – (-√3)} = 0
⟹ (x - 2)(x - √3)(x + √3) = 0
⟹ (x - 2)(x22 - 3) = 0
⟹ x33 – 2x22 - 3x + 6 = 0.
⟹ x22 - {1 - √3 + 1 + √3}x + (1 + √3)( 1 - √3) = 0
⟹ x22 - 2x + (1 - 3) = 0
⟹ x22 - 2x - 2 = 0.
“ɴᴇᴠᴇʀ ꜱᴛᴏᴘꜱ ʟᴇᴀʀɴɪɴɢ, ʙᴇᴄᴀᴜꜱᴇ ʟɪꜰᴇ ɴᴇᴠᴇʀ ꜱᴛᴏᴘꜱ ᴛᴇᴀᴄʜɪɴɢ”
Answer:
√3
Step-by-step explanation:
I hope it's helpful to you.
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Answers & Comments
We know that the quadratic equation whose roots are α, β and γ, is
(x – α)(x – β)(x - γ) = 0
Therefore, the required equation is (x – 2)(x - √3){x – (-√3)} = 0
⟹ (x - 2)(x - √3)(x + √3) = 0
⟹ (x - 2)(x22 - 3) = 0
⟹ x33 – 2x22 - 3x + 6 = 0.
⟹ x22 - {1 - √3 + 1 + √3}x + (1 + √3)( 1 - √3) = 0
⟹ x22 - 2x + (1 - 3) = 0
⟹ x22 - 2x - 2 = 0.
⚘ ᴄʜᴇꜱᴋᴀ ⚘
“ɴᴇᴠᴇʀ ꜱᴛᴏᴘꜱ ʟᴇᴀʀɴɪɴɢ, ʙᴇᴄᴀᴜꜱᴇ ʟɪꜰᴇ ɴᴇᴠᴇʀ ꜱᴛᴏᴘꜱ ᴛᴇᴀᴄʜɪɴɢ”
Answer:
√3
Step-by-step explanation:
I hope it's helpful to you.