Question

Me podrian ayudar resolviendo las siguientes ecuaciones cuadràticas porfavor?
a) 3x^2-5x-2=0
b)6t^2-4t+32=0
c)z(z-9)+9(z-9)=0
d)y^2+4y-45=0
e)x^2+22x+121=0
d)v(v-10)-11(v-10)=0

Encerio se los agradeceria mucho!!

Answer 1

3x^2-5x-2=0
3x        +1
x           -2

-6+x = -5x

(3x+1)(x-2)

3x+1 = 0       x-2 = 0
3x = -1          x = 2
x = -1/3 

CS = (-1/3; 2)



6t^2-4t+32 = 0
3t^2-2t+16 = 0
3t           -8
t            +2

6t-8t = -2t

(3t-8)(t+2) = 0

3t-8 = 0       t+2 = 0
3t = 8          t = -2
  t = 8/3

CS = (-2; 8/3)



z(z-9)+9(z-9)=0
(z-9)(z+9) = 0

z-9 = 0       z+9=0
z = 9          z = -9

CS = (-9; 9)



y^2+4y-45=0
y          +9
y          -5
9y-5y = 4y
(y+9(y-5)=0

y+9=0       y-5= 0
y=-9          y = 5
CS= (-9;5)


x^2+22x+121=0
x            +11
x            +11

11x+11x = 22x
(x+11)(x+11) = 0

x+11 = 0       x+11 = 0
x = -11           x = -11
CS = (-11)


v(v-10)-11(v-10)
(v-10)(v-11)=0

v-10=0       v-11 = 0
v = 10        v = 11

CS =(10;11)