Question

determine o número de raizes de cada equaçao
a)-3x²-4x=0
b)3x²-5x+3=0

Answer 1

$a) - x \times (3x + 4) = 0 \\ - x = 0 \\ 3x + 4 = 0 \\ x = 0 \\ x = - \frac{4}{3} \\ x {}^{1} = - \frac{4}{3} \\ x {}^{2} = 0$

$b)3x {}^{2} - 5x + 3 = 0 \\ x = - ( - 5)± \sqrt{ \frac{( - 5) {}^{2} - 4 \times 3 \times 3 }{2 \times 3} } \\ x = \frac{5± \sqrt{25 - 36} }{6} \\ x = \frac{5± \sqrt{ - 11} }{6} \\ a \: expressao \: nao \: e \: definida \: no \: conjunto \: de \: numeros \: reais$