Question

Determine, caso existam, os zero de cada da função
ME EXPLICA COMO VOCÊ FEZ

d) f(x)=-1/2x²+6

Answer 1

Rodrigo, mesmo processo da tarefa anterior que tinha me pedido:


$f(x)=- \dfrac{1}{2} x^2+6\\\\ - \dfrac{1}{2} x^2+6=0\to\\\\ - \dfrac{1}{2} x^2=-6~(-1)\to\\\\ \dfrac{1}{2} x^2=6\to\\\\ x^{2} = \dfrac{6}{\dfrac{1}{2}} \to\\\\\\ x^{2} =6\times2\to\\\\ x^2=12\to\\\\ x=\pm \sqrt{12} \to\\\\ x=\pm \sqrt{2^2\times3} \to\\\\ x=\pm 2\sqrt{3}\\\\\\\\ \large\boxed{\boxed{S=\{ -2\sqrt{3}~;~2\sqrt{3}\}}}$