a) (x - 7)²= 36b) (4x – 5)² = 49c) (x – 4)²= 45d) (x + 33)² = 1e) 6x

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a) (x - 7)²= 36
b) (4x – 5)² = 49
c) (x – 4)²= 45
d) (x + 33)² = 1
e) 6x - 24 = 0
f) 6x + 24 = 0

Решите пожалуйста примеры с полным решением

Answers & Comments

rinadark118

Ответ:

a) $x_{1}=1, x_{2}=13$

b) $x_{1}=-\frac{1}{2}, x_{2}=3$

c) $x_{1}=-3\sqrt{5}+4, x_{2}=3\sqrt{5}+4$

d) $x_{1}=-34, x_{2}=-32$

e)x=4

f)x=-4

Пошаговое объяснение:

a) $(x-7)^{2}=36$

x-7=±6

x-7=-6

x-7=6

x=1

x=13

$x_{1}=1, x_{2}=13$

b) $(4x-5)^{2}=49$

4x-5=±7

4x-5=-7

4x-5=7

$x=-\frac{1}{2}$

x=3

$x_{1}=-\frac{1}{2}, x_{2}=3$

c) $(x-4)^{2}=45$

x-4=± $3\sqrt{5}$

x-=-3 $\sqrt{5}$

x-=3 $\sqrt{5}$

x=-3 $\sqrt{5}$ +4

x=3 $\sqrt{5}$ +4

$x_{1}=-3\sqrt{5}+4, x_{2}=3\sqrt{5}+4$

d) $(x+33)^{2}=1$

x+33=±1

x+33=-1

x+33=1

x=-34

x=-32

$x_{1}=-34, x_{2}=-32$

e)6x-24=0

6x=24

x=4

f)6x+24=0

6x=-24

x=-4

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