Question

equação:

m^2 - 10m + 16 = 0

Answer 1

m^2 - 10m + 16 = 0
Δ= 100 - 4 x 1 x 16
Δ= 36
m = 10 +-  raiz quadrada de 36 / 2 x1 
m1 = 10 + 6 / 2 = 8
m2 = 10 - 6 / 2 = 2

Answer 2

$m^2 - 10m+16 = 0 \\ \\ a = 1 \\ b =-10 \\ c = 16 \\ \\ \Delta = b^2-4ac \\ \Delta = (-10)^2-4\cdot1\cdot16 \\ \Delta = 100 - 64 \\ \boxed{\Delta = 36} \\ \\ m = \frac{-b\pm \sqrt{\Delta} }{2a} \\ \\ m = \frac{-(-10)\pm \sqrt{36} }{2\cdot1} \\ \\ m = \frac{10\pm6}{2} \\ \\ \\ m' = \frac{10+6}{2} \rightarrow m' = \frac{16}{2} \rightarrow \boxed{m' = 8} \\ \\ m'' = \frac{10-6}{2} \rightarrow m'' = \frac{4}{2} \rightarrow \boxed{m'' = 2}$

Raízes:

$m' = 8 \\ m'' = 2$