Question

Sa se rezolve ecuatiile:
a) 4x la puterea a 2 a - 100=0
b) 3x la putera a 3 - 27/49=0
c) x+2 supra 24 = 6 supra x+2
d) 3 supra 2x-1 = 2x-1 supra 75
e) x+3 supra 28 = 7 supra x+ 3
f) 3x - 1 supra 32 = 8 supra 3x -1​

Answer 1

Răspuns:

a)x²-25=0

ײ=+5,-5

x1=-5,x2=5

c)75(x+2)=24(2x-1)

75x+150=24(2×-1)

75x+150=48x-24

75x-48x+150=-24

75-48x=-24-150

27x=-24-150

27x=-174

d)225=(2x-1)×(2x-1)

225=(2x-1)²

(2x-1)²=225

2x-1=+15,-15

2x-1=-15

2x-1=15

x=7

2x-1=15

e)(x+3) × (x+3)=196

(x+3)²=196

x+3= +14,-14

f)(3x-1)×(3x-1)=256

(3x-1)²=256

3x-1=-16,+16

×=5

3×-1=16