Question

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

Answer 1

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!!!