Question

determine as raízes das seguintes equação 2 grau a) x2-8x+15=0​

Answer 1

$\largeRa\acute{i}zes ~da ~equac_{\!\!,}\tilde{a}o: ~ \Rightarrow ~ S = \{ 3, 5 \}$

Primeiro encontrar o valor do discriminante delta.

$\Delta =b^2-4ac\\\\\Delta=(-8)^2-4.(1).(15)\\\\\Delta=64-60\\\\\Delta=4$

$x = \dfrac{-b \pm \sqrt{\Delta}}{2a} \\\\\\x = \dfrac{-(-8) \pm \sqrt{4}}{2. (1)} \\\\\\x = \dfrac{8 \pm 2}{2} \\\\\\x' = \dfrac{8 + 2}{2} \\\\\\x' = \dfrac{6}{2} \\\\\\x' = 3\\\\\\x'' = \dfrac{8 + 2}{2} \\\\\\x'' = \dfrac{10}{2} \\\\\\x'' = 5$

Solução:

$S = \{ 3, 5 \}$

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