If a and b are distinct real numbers show that the quadratic equation 2(a²+b²)x²+2(a+b)x+1=0 has no

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Show that the equation 2(a^2+b^2)x^2+2(a+b)x+1=0 has no real roots, when a≠b. Show that the equation 2(a^2+b^2)x^2+2(a+b)x+1=0 has no real roots, when a≠b.
If a and b are distinct real numbers, show that the quadratic equation 2(a^2+b^2) x^2+2(a+b) x+1=... If a and b are distinct real numbers, show that the quadratic equation 2(a^2+b^2) x^2+2(a+b) x+1=...
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𝗖𝗔𝗟𝗖𝗨𝗟𝗔𝗧𝗢𝗥 𝗧𝗘𝗖𝗛𝗡𝗜𝗤𝗨𝗘:𝗼𝗿𝗶𝗻𝗴 𝗤𝘂𝗮𝗱𝗿𝗮𝘁𝗶𝗰 𝗣𝗼𝗹𝘆𝗻𝗼𝗺𝗶𝗮𝗹𝘀 𝗖𝗔𝗟𝗖𝗨𝗟𝗔𝗧𝗢𝗥 𝗧𝗘𝗖𝗛𝗡𝗜𝗤𝗨𝗘:𝗼𝗿𝗶𝗻𝗴 𝗤𝘂𝗮𝗱𝗿𝗮𝘁𝗶𝗰 𝗣𝗼𝗹𝘆𝗻𝗼𝗺𝗶𝗮𝗹𝘀
If roots of the equation x²+2cx+ab=0 are real and unequal then prove that x²-2(a+b)x+(a²+b²+2c²)=0 If roots of the equation x²+2cx+ab=0 are real and unequal then prove that x²-2(a+b)x+(a²+b²+2c²)=0