Question

A raiz positiva da equação x²+5x=6 vale:

Answer 1

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$x^2+5x=6$

$x^2+5x-6=0$

$onde:$

$a=1\:\:b=5\:\:c\:\:= -6$

$\Delta=5^2-4×1×(-6)$
$\Delta=25-24$
$\Delta=1$

$x=\frac{-b±\sqrt{\Delta}}{2×a}$

$x=\frac{-5±\sqrt{1}}{2×1}$

$x'=\frac{-5-1}{2}$

$x'=\frac{-6}{2}$
$x'=-3$

$x"=\frac{-5+1}{2}$

$x"=\frac{-4}{2}$
$x"=-2$