Question

A maior das raizes da equação 2+3x+x2=0 é

Answer 1

Resposta:

-1

Explicação passo-a-passo:

$a = 1\\b= 3\\c=2\\\\\Delta=b^{2}-4ac\\\\\Delta=3^{2}-4\cdot1\cdot2\\\Delta =9-8\\\Delta=1\\\sqrt{\Delta}=\sqrt{1}=1\\\\x_1=\dfrac{-b+\sqrt{\Delta}}{2a}\\x_2=\dfrac{-b-\sqrt{\Delta}}{2a}\\\\x_1=\dfrac{-3+1}{2\cdot1}=\dfrac{-2}{2}=-1\\\\x_2=\dfrac{-3-1}{2\cdot1}=\dfrac{-4}{2}=-2\\\\S=\{-2, -1\}\\\\-1 > -2$