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The equation ax^(2) +bx+ c=0, where a,b,...

The equation `ax^(2) +bx+ c=0,` where a,b,c are the side of a `DeltaABC,` and the equation `x^(2) +sqrt2x+1=0` have a common root. Find measure for `angle C.`

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The correct Answer is:
`angle C =45^(@)`
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