if-2-2-2-2-evaluate-

Question Number 62334 by smartsmith459@gmail.com last updated on 19/Jun/19

i f α^{2} + β^{2} = {(α + β)}^{2} - 2 α β e v a l u a t e (α - β)

Answered by Kunal12588 last updated on 20/Jun/19

α^{2} + β^{2} = {(α + β)}^{2} - 2 α β

\Rightarrow α^{2} + β^{2} - 2 α β = {(α + β)}^{2} - 4 α β

\Rightarrow α^{2} + β^{2} - 2 α β = {(α - β)}^{2}

\Rightarrow (α - β) = \sqrt{α^{2} + β^{2} - 2 α β}

Answered by MJS last updated on 20/Jun/19

α^{2} + β^{2} = α^{2} + 2 α β + β^{2} - 2 α β

α^{2} + β^{2} = α^{2} + β^{2}

\Rightarrow true for all α, β

\Rightarrow α - β = α - β

no other conclusion possible

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