Question

1) Aflați x € R
a. |2x+6|= radical din 8
b. |3x-6|= radical din 27
c. |x+ radical din 2|= -3 radical din 2
d. 2|7x-10|= 8

Answer 1

a.). |2x+6|=✓8 => 2x+6=✓8=> 2x=✓8-6=>
=>2x=2✓2-6=> x=(-4✓2)/2 x= -2


b.). |3x-6|=✓27=> 3x-6=3✓3=>3x=3✓3+6=>
=>3x=9✓3=> x=3


c.). |x+✓2|= -3✓2=> x= -3✓2-✓2=> x= -4✓2


d.). 2•|7x-10|=8=> 14x-20=8=> 14x=28=>
=> x=28/14=> 2

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