Question

Determine as raízes da equação abaixo:
x²-5x + 6 = 0
a)1 e 5
b)-1 e 5
c)2 e -3
d)2 e 3

Answer 1

$\huge\boxed{\sf x^2-5x+6=0 \ \ \checkmark }$

$\Box \ \ a=1\\\Box \ \ b=-5\\\Box \ \ c=6\\\\\Delta=b^2-4.a.c$

$\Delta=-(-5)^2-4.1.6\\\Delta=5^2 -4.1.6\\\Delta=25-4.1.6\\\Delta=1\\\\\huge\boxed{\boxed{\sfx=\cfrac{5\pm\sqrt{1} }{2.1} \\\\ \ \ \checkmark }}\\ \\\\\huge\boxed{\boxed{\sf x=\cfrac{5\pm1}{2}\ \ \checkmark }}\\\\\huge\boxed{\boxed{\sf x'=\cfrac{5+1}{2} \ = \cfrac{6}{2} = 3 \ \checkmark }}\\\\\huge\boxed{\boxed{\sf x''=\frac{5-1}{2}=\frac{4}{2} =2 \ \checkmark }}$

$\Box \ x'=3 \ \checkmark\\\Box \ x''=2 \ \checkmark\\\\alternativa \ correta \ = \ x'=3 \ e \ x''=2\\ent\~ao \ seria \ alternativa \ d) \ 2 \ e \ 3 \\\\\boxed{\begin{array}{l}\sf R=2,3 \end{array}}$

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