Question

Me ayudarían a resolver y a entender mi guía?

Answer 1

a)17y-y+9=32-19y+82
16y+19y=114-9
35y=105
y=105/35
y=3

b) 2[3x+1-2(x+4)]-(3x+5)=0
2[3x+1-2x-8]-3x-5=0
6x+2-4x-16-3x-5=0
-x-19=0
x=-19

c) -3+x-5[2x+4-(x+2)]=x+2
-3+x-5[2x+4-x-2)]=x+2
-3+x-10x-20+5x+10=x+2
5x=-15
x=-3

d) (x-2)²-(3-x)²=1
x²-4x+4-(9-6x+x²)=1
x²-4x+4-9+6x-x²=1
2x=1+5
x=6/2
x=3

e) (x-2)²+x(x-3)=3(x+4)(x-3)
x²-4x+4+x²-3x=3(x²-3x+4x-12)
2x²-7x+4=3x²-9x+12x-36
4=x²+10x-36
x²+10x-40=0
Aplicando formula general:
$x=-b+- \sqrt{b^2-4ac} /2a$


$x1=-10+ \sqrt{10^2(1)(-40)}/2(1)= \sqrt{65}-5$

$x2=-10- \sqrt{10^2(1)(-40)}/2(1)=- \sqrt{65}-5$