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