pake cara nya ya yg detail

x² - 4x + 3 = 0
a = 1
b = -4
c = 3

akar-akarnya adalah α & β

RUMUS
α+β = -b/a -> -(-4)/1 = 4
α·β = c/a -> 3/1 = 3

[tex] \frac{1}{ a^{2} } + \frac{1}{ b^{2} } = \frac{ b^{2} }{ (ab)^{2} } + \frac{ a^{2} }{ (ab)^{2} } = \frac{ (a+b)^{2} - 2ab}{ (ab)^{2} } = \frac{ 4^{2} -23}{ 3^{2} } = \frac {16-6}{9} = \frac{10}{9}[/tex]