Question

se m e n sao raizes da equação x²-5x+6=0, aponte o valor de m-²+n-²​

Answer 1

Resposta:

Δ = b² - 4 × a × c

Δ = 5² - 4 × 1 × 6

Δ = 25 - 24

Δ = 1

Raízes;

$x'=\frac{-b+\sqrt{delta}}{2*a}\\x'=\frac{-(-5)+\sqrt{1}}{2*1}\\x'=\frac{5+1}{2}\\x'=\frac{6}{2}\\x'=3\\\\x"=\frac{-b-\sqrt{delta}}{2*a}\\x"=\frac{-(-5)-\sqrt{1}}{2*1}\\x"=\frac{5-1}{2}\\x"=\frac{4}{2}\\x"=2\\\\x'=m\\x"=n$

$m^{-2}+n^{-2}\\3^{-2}+2^{-2}\\\frac{1}{(3)^{2}}+\frac{1}{(2)^{2}}\\\frac{1}{9}+\frac{1}{4}=\frac{4+9}{36}\\\\=\frac{13}{36}$

Explicação passo-a-passo: