Question

If a and b are distinct real numbers then show that there exists a real number c such that

Answer 1

ɪᶠ ᵃ , ᵇ ᵃʳᵉ ᵗʷᵒ ʳᵉᵃˡ ⁿᵘᵐᵇᵉʳˢ ʷⁱᵗʰ ᵃˡᵗᵇ , ᵗʰᵉⁿ ᵃ ʳᵉᵃˡ ⁿᵘᵐᵇᵉʳ ᶜ ᶜᵃⁿ ᵇᵉ ᶠᵒᵘⁿᵈ ᵇᵉᵗʷᵉᵉⁿ ᵃ ᵃⁿᵈ ᵇ ˢᵘᶜʰ ᵗʰᵃᵗ ᵗʰᵉ ᵛᵃˡᵘᵉ ᵒᶠ (ᵃ^2+ᵃ  ...