Question

find the roots of the equation x2+x/2-2=0​

Answer 1

${x}^{2} + \frac{x}{2} - 2 = 0$

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

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

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

$x(x + 2) - 1( x + 2) = 0$

$= (x - 1)(x + 2) = 0$

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

$(x + 2) = 0 \\ x = - 2$

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