Question

FATORE E RESOLVA AS EQUAÇOES A SEGUIR:

a) x ao qradrado+16x =0
b)4x ao qradrado -1 = 0
c)x ao qradrado +12x + 36 = 0
x ao quadrado - 4x + 3 =0

Answer 1

$a) x^{2} + 16 = 0 \\ \\ x(x + 16) \\ \\ x' = 0 \\ \\ x + 16 = 0 => x = -16$

S = {0, -16}

$b) 4x^2 - 1 = 0 \\ \\ (2x -1)(2x + 1) \\ \\ 2x - 1 = 0 => x' = \frac{1}{2} \\ \\ 2x + 1 = 0 => x'' = -\frac{1}{2}$

S = {$\frac{1}{2}, -\frac{1}{2}$}

c) $x^{2} + 12 x + 36 = 0 \\ \\ (x + 6)(x +6 ) \\ \\ x + 6 = 0 => x = -6$

S ={-6}

d) $x^{2} -4x + 3 = 0 \\ \\ (x - 3)(x - 1) \\ \\ x - 3 = 0 => x' = 3 \\ \\ x - 1 = 0 => x'' = 1$

S = {3, 1}