Question

a) x2 - 4= 0
b) (x - 5)2 = 144
c) 2x2-8=0
d) x2+2x=35

Answer 1

Respuesta:

a) X=2

b) X1 = 17

X2 = (-7)

c) X=2

d) X1 = 5

X2 = (-7)

Explicación paso a paso:

a) x² -4= 0

x² = 4

x=2

b) (x-5) ²= 144

x² -10x +25 = 144

x² -10x -119 =0

"cuadrática"

"cuadrática"a=1

b=(-10)

c=(-119)

~~~~~~~~

x= [ 10± √{(-10)² - (4*1*(-119)) } ] ÷ 2*1

x= [ 10 ± (√ (100 + 476)) ] ÷2

x= [ 10 ± 24 ] ÷2

X1 = (10+24)÷2 = 17

X1 = (10+24)÷2 = 17X2 = (10-24)÷2 = (-7)

c) 2x² -8= 0

2x² = 8

x² = 4

x=2

d) x² + 2x = 35

x² +2x -35 =0

"cuadrática"

"cuadrática"a=1

"cuadrática"a=1b=2

c=(-35)

)~~~~~~~~

x= [ (-2) ± √{2² - (4*1*(-35)) } ] ÷ 2*1

x= [ (-2) ± (√ (4 + 140)) ] ÷2

x= [ (-2) ± 12 ] ÷2

X1 = ((-2)+12)÷2 = 5

X1 = ((-2)+12)÷2 = 5X2 = ((-2)-12)÷2 = (-7)