Prove that both of the roots of the equation (x-a)(x-b)+(x-b)(x-c)+(x-c)(x-a)=0 are real but they...

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Prove that both roots of (x-b)(x-c) + (x-c)(x-a) + (x-a)(x-b) = 0 are real.

Both th roots of the equation (x-b)(x-c)+(x-a)(x-b)+(x-a)(x-c)=0 are always

Postscript: How to prove that the only integer solution to (x-a)(x-b)(x-c)(x-d) - 4 = 0 is ...

Both the roots of the equation \( (x-b)(x-c)+(x-a)(x-c) \) \( +(x-a)(x-b)=0 \) are always (a) po...

Both the roots of the equation (x-b)(x-c)+(x-a)(x-c)+(x-a)(x-b)=0 are always

Prove that roots of the eq^n (x-a)(x-b)+(x-b)(x-c)+(x-c)(x-a)=0 are real and equal when a=b=c

🎯 𝐒𝐡𝐨𝐰 𝐭𝐡𝐚𝐭 𝐢𝐧 (𝐱–𝐚)(𝐱–𝐛)+(𝐱–𝐛)(𝐱–𝐜)+(𝐱–𝐜)(𝐱–𝐚)=𝟎, 𝐛𝐨𝐭𝐡 𝐫𝐨𝐨𝐭𝐬 𝐚𝐫𝐞 𝐫𝐞𝐚𝐥 𝐛𝐮𝐭 𝐞𝐪𝐮𝐚𝐥 𝐨𝐧𝐥𝐲 𝐢𝐟 𝐚=𝐛=𝐜

Prove that both the roots of the equation (x-a)(x-b) + (x-b)(x-c) + (x-c)(x-a) are real, but they