Question

Determine as raízes (ou zeros) reais das funções
a) f(x)=3x²+10x+3
b) f(x)= -2x²+5x-2

Answer 1

Resposta:

Espero ter ajudado, Abraço!

Explicação passo-a-passo:

$a)\\3x^2+10x+3=0\\\Delta=b^2-4*a*c\\\Delta=10^2-4*3*3\\\Delta=100-36\\\Delta=64\\\\x=\frac{-b^+_-\sqrt{\Delta}}{2*a}\\\\x=\frac{-10^+_-8}{6}=\\\\x'=-\frac{1}{3}\\\\x"=-3$

$b)\\f(x)=-2x^2+5x-2=0\\\\\Delta=5^2-4*(-2)*(-2)\\\Delta=25-16\\\Delta=9\\\\x=\frac{-5^+_-3}{-4}=\\\\x'=\frac{-2}{-4}=\frac{1}{4}\\\\x"=\frac{-8}{-4}=2$