Math, asked by Deeps8079, 11 months ago

Find the sum of the roots of the polynomial 2x²-4(X+1)+3

Answers

Answered by manasvisn
0

Step-by-step explanation:

2x ^{2}  - 4x - 1 + 3

 {2x}^{2}  - 4x + 2   = 0

2( {x}^{2}  + 2x + 1) = 0

 {x}^{2}  - 2x + 1 = 0

 {x}^{2}  - 1x - 1x = 0  \:  \:  \:  \:  \:  \:  \: (splitting \: the \: middle \: term)

x(x - 1) - 1(x - 1) = 0  \\ x - 1 = 0  \:  \:  \:  \:  \:x - 1 = 0 \\   x = 1 \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: x = 1

sum \: of \: roots =  \alpha  +  \beta  =   \frac{ - b}{a}

 \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  = 1 + 1

 \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:     = \frac{ - ( - 2)}{1}

 \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  = 2 \:  \:  \:  \:  \:

hope this helps!!!

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