Question

Factorization, procedimiento y resultados de x1 y X2 porfavor


X^2 - 36 = 0
X^2 - 18x + 81 = 0
12x^2 - 12x = 0
X^2 + 8 x - 20= 0
5x^2 5x - 30 = 0​

Answer 1

Respuesta:

EJERCICIO 1:

${x}^{2} - {y}^{2} = (x - y)(x + y)$

${x}^{2} - 36 = {(x)}^{2} - ( {6}^{2}) \\ (x - 6)(x + 6) = 0 \\ x1 = 6 \: \: \: \: \: o \: \: \: \: x2 = - 6$

EJERCICIO 2:

${x}^{2} - 2(x)(y) + {y}^{2} = {(x - y)}^{2}$

${(x)}^{2} - 2(x)(9) + ( {9}) ^{2} \\ ( {x - 9)}^{2} = 0 \\ x = 9 \: (multiplicidad \: 2)$

EJERCICIO 3:

$12 {x}^{2} - 12x = 0 \\ 12x(x - 1) = 0 \\ x1 = 0 \: \: \: \: \: o \: \: \: x2 = 1$

EJERCICIO 4:

X^2+8x-20=0

X 10

X - 2

(x+10)(x-2)=0

X1= - 10 v X2=2

EJERCICIO 5:

5X^2+5X-30=0

5x - 10

x 3

(5x-10)(x+3)=0

5X1-10=0 v X2=-3

5X1=10

X1=2