Question

x² - 5x + 6 = 0

4x² + 9 = 12x

x² - 49 =0

pls me ajudem prova final preciso urgente como resolvo tudo

Answer 1

x^2-5x+6=0
delta=b^2-4ac
(-5)^2-4*1*6=25-24=1
x=-b+-Vdelta/2a=5+-1/2
x1=5+1/2=3 x2=5-1/2=2

Answer 2

$x {}^{2} - 5x + 6 = 0 \\ x {}^{2} - 2x - 3x + 6 = 0 \\ x.(x - 2) - 3(x - 2) \\ (x - 3).(x - 2) = 0 \\ \\ x - 3 = 0 \\ x - 2 = 0 \\ \\ x_{1} = 2 \\ x_{2} = 3$
$4x {}^{2} + 9 = 12x \\ 4x {}^{2} + 9 - 12x = 0 \\ 4x {}^{2} - 12x + 9 = 0 \\ (2x - 3) {}^{2} = 0 \\ 2x - 3 = 0 \\ 2x = 3 \\ x = \frac{3}{2}$
$x {}^{2} - 49 = 0 \\ x {}^{2} = 49 \\ x = 7 \\ x = - 7 \\ \\ x_{1} = - 7 \\ x_{2} = 7$