Question

Me ajudem a achar a solução

Answer 1

Resposta:

x' = 4 + i

x'' = 4 - i

Explicação passo a passo:

x² - 8x + 17 = 0

a = 1

b = -8

c = 17

$\Delta = b^2-4.a.c\\\Delta = (-8)^2-4*1*17\\\Delta = 64-68\\\Delta = -4\\\\x'=\frac{-b+\sqrt{\Delta} }{2a} \\\\x'=\frac{-(-8)+\sqrt{-4} }{2*1}\\\\x'=\frac{8+2i }{2}\\\\x'=\frac{2(4+i)}{2} \\\\x'=4+i\\\\ou\\\\x''=\frac{-b-\sqrt{\Delta} }{2a} \\\\x''=\frac{-(-8)-\sqrt{-4} }{2*1}\\\\x''=\frac{8+2i }{2}\\\\x''=\frac{2(4-i)}{2} \\\\x''=4-i$