Question

2x elevado a dois -5x +2=0​

Answer 1

Resposta:

Equação do 2º grau

$2x^2-5x+2=0\\ \\ a=2\\ b=-5\\ c=2\\ \\ \Delta=b^2-4ac\\ \Delta=(-5)^2-4(2)(2)\\ \Delta=25-16\\ \Delta=9\\ \\ x={-b\pm\sqrt{\Delta} \over2a}\\ \\ x={-(-5)\pm\sqrt{9} \over2.(2)}={5\pm3\over4}\\ \\ x'={5-3\over4}={2\over4}={1\over2}\\ \\ x"={5+3\over4}={8\over4}=2\\ \\ \\\fbox{ S=\{{1\over2},2\} }$