Question

x²+5x/2 - 3/2=0 alguém sabe me responder? ;-;

Answer 1

Resposta:

x= 1/2

x= -3

Explicação passo a passo:

Answer 2

$\mathsf{x^2+\dfrac52x-\dfrac32=0}\\\\\\\mathsf{\Delta=b^2-4ac}\\\mathsf{\Delta=\left(\dfrac52\right)^2-4\cdot1\cdot\left(-\dfrac32\right)}\\\\\mathsf{\Delta=\dfrac{25}{4}+\dfrac{12}2}\\\\\mathsf{\Delta=\dfrac{25}4+\dfrac{24}4}\\\\\mathsf{\Delta=\dfrac{25+24}4}\\\\\mathsf{\Delta=\dfrac{49}4}\\\\\\\mathsf{x = \dfrac{-b\pm\sqrt\Delta}{2a}}\\\\\mathsf{x=\dfrac{-\dfrac52\pm\sqrt{\dfrac{49}4}}{2\cdot1}}\\\\\mathsf{x=\dfrac{-\dfrac52\pm\dfrac72}2}$

$\mathsf{x_1=\dfrac{-\dfrac52+\dfrac72}2=\dfrac{\dfrac{-5+7}2}2=\dfrac{\dfrac{2}2}2=\boxed{\boxed{\mathsf{\dfrac12}}}}\\\\\mathsf{x_2=\dfrac{-\dfrac52-\dfrac72}2=\dfrac{\dfrac{-5-7}2}2=\dfrac{\dfrac{-12}2}{2}=\dfrac{-6}2=\boxed{\boxed{\mathsf{-3}}}}\\\\\\\mathsf{S = \left\{\dfrac12,\ -3\right\}}$