If 2α+13β0β2−5β=α+3β2+20−6 find the value of α + β

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answer is 4.

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Detailed Solution

The given matrices will be equal, iff2α+1=α+3⇒α=23β=β2+2⇒β2−3β+2=0β=1,2 and β2−5β=−6---iβ2−5β+6=0β=2,3----iiFrom Eqs. (i) and (i), we get β =2α=2,β=2

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