Докажите неравенство:х²+1≥2(3х-4)х²+5≥10(х-2)

Question

Алгебра: Докажите неравенство:х²+1≥2(3х-4)х²+5≥10(х-2)​

Pricol5 · Answer

x²+1≥2(3x-4)x²+1≥6x-8x²+1-6x+8≥0x²+9-6x≥0x²-6x+9≥0(x-3)²≥0x²+5≥10(x-2)x²+5≥10x-20x²+5-10x+20≥0x²+25-10x≥0x²-10x+25≥0(x-5)²≥0...

Докажите неравенство:
х²+1≥2(3х-4)
х²+5≥10(х-2)