Question

escreva na forma ax*2 + bx+c=0 as seguintes equações: A) (x-1)*2 + (3-2x)*2=-1
B) 2/3x*2+5/6=1/2x*2

Answer 1

Resposta:

$A)\\ \\ (x+1)^{2} +(3-2x)^{2} =-1\\ \\ x^{2} +2.x.1+1^{2} +3^{2} -2.3.2x+(2x)^{2} =-1 \\ \\ x^{2} +4x^{2} +2x-12x+1+9+1=0\\ \\ 5x^{2} -10x+11=0$

$B)\\ \\ (\frac{2}{3x} )^{2} +\frac{5}{6} =(\frac{1}{2x} )^{2} \\ \\ \frac{4}{9x^{2} } +\frac{5}{6} =\frac{1}{4x^{2} } \\ \\ \\ \frac{16+30x^{2} =12}{36x^{2}} \\ \\ 16+30x^{2} =12\\ \\ 30x^{2}+16 -12=0\\ \\ 30x^{2} +4=0\\ \\ simplificando\\ \\ 15x^{2} +2=0\\ \\ \\ 15x^{2} +0x+2=0$