Question

g²-41g-86=0
alguém me ajuda a fazer essa conta ???? ​

Answer 1

Explicação passo-a-passo:

$g^2-41g-86=0$

$\Delta=(-41)^2-4\cdot1\cdot(-86)$

$\Delta=1681+344$

$\Delta=2025$

$g=\dfrac{-(-41)\pm\sqrt{2025}}{2\cdot1}=\dfrac{41\pm45}{2}$

$g'=\dfrac{41+45}{2}~\Rightarrow~g'=\dfrac{86}{2}~\Rightarrow~\boxed{g'=43}$

$g"=\dfrac{41-45}{2}~\Rightarrow~g"=\dfrac{-4}{2}~\Rightarrow~\boxed{g"=-2}$