Question

Determine as raizes das equações abaixo: a)7x-3=6x+11
B)x ao quadrado-11x+30=0

Answer 1

$\green{a)} \red{x14} \: \: \: \: \: \: \green{b)} \red{x_{1} = 5 \: \: \: x_{2} = 6 }$

explicação passo a passo

$a) \orange{7x - 3 = 6x + 11} \\ 7x - 3 = 6x + 11 \\ 7x - 3 - 3 - 6x = 6x + 11 - 6x \\ 7x - 3 - 6x = 11 \\ 7x - 3 = 6x + 11 \\ 7x - 3 - 6x = 11 \\ 7x - 3 = 6x + 11 \\ 7x - 3 - 6x + 3 = 11 + 3 \\ 7x - 6x = 11 + 3 \\ 7x - 3 = 6x + 11 \\ 7x - 6x = 11 + 3 \\ 7x - 6 \\ (7 - 6)x \\1x \\ x \\7x - 6x = 11 + 3 \\ x = 11 + 3 \\ 7x - 6x = 11 + 3 \\ x = 14 \\ resposta \\ x = 14 \\ \\ b) \orange{x {}^{2} - 11x + 30 = 0} \\ x {}^{2} - 11x + 30 = 0 \\ x {}^{2} - 5x - 6x + 30 = 0 \\ x \times (x - 5) - 6x + 30 = 0 \\ x {}^{2} - 5x - 6x + 30 = 0 \\ x \times (x - 5) - 6(x - 5) = 0 \\ (x - 5) \times (x - 6) = 0 \\ x - 5 = 0 \\ x - 6 = 0 \\ x - 5 = 0 \\ x - 5 + 5 = 0 + 5 \\ x = 0 + 5 \\ x - 5 + 5 = 0 + 5 \\ x = 5 \\ x - 5 = 0 \\ x - 6 = 0 \\ x = 5 \\ x - 6 = 0 \\ x - 6 + 6 = 0 + 6 \\ x = 0 + 6 \\ x - 6 + 6 = 0 + 6 \\ x = 6 \\ x - 5 = 0 \\ x - 6 = 0 \\ x = 5 \\ x = 6 \\ x_{1} = 5 \: \: \: \: x_{2} = 6 \\ resposta \\ x_{1} = 5 \: \: x_{2} = 6$