Question

Alguém pode me ajudar com essas questões de equação do segundo grau por favor

a) m²=196

b)-3x² + 18 =0

c) 2y² - 144=0

d) x² +1 =0

e) 65x²=0

Answer 1

$a)~m^2=196\to m=\pm \sqrt{196} \to m=\pm14\\\\ S=\{-14;14\}\\\\\\\\b)~-3x^2+18=0\to -3x^2=-18~(-1)\to3x^2=18\to x^2= \frac{18}{3} \to \\\\ x^2=6\to x=\pm \sqrt{6} \\\\ S=\{-\sqrt{6} ; \sqrt{6} \}$



$c)~2y^2-144=0\to 2y^2=144\to y^2= \frac{144}{2} \to y^2=72\to y=\pm \sqrt{72} \to \\\\ y=\pm \sqrt{2^2.2.3^2} \to y=\pm 2.3 \sqrt{2} \to y=\pm 6 \sqrt{2} \\\\ S=\{-6 \sqrt{2} ;6 \sqrt{2} \}$



$d)~x^2+1=0\to x^2=-1\to x=\pm \sqrt{-1} \\\\ N\~ao~~existe~~zero~~real\\\\\\ e)~65x^2=0\to x^2= \frac{0}{65} \to x^2=0\to x=\pm \sqrt{0} \to x=0\\\\ S=\{0\}$