Question

uniti prin sageti repede Va rog!​

Answer 1

Răspuns:

Explicație pas cu pas:

a)

( x - 1)² = (±1)²

x - 1 = 1 ⇒  x = 1+1 =>  x₁ = 2

x - 1 = - 1 ⇒  x = - 1 + 1 ⇒ x₂ = 0

S = { 0; 2) __________________→ 2)

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b)

x² - 1 = 1 ⇒  x² = 1 + 1 ⇒ x² = 2 ⇒ x= ±√2 -----------→ 4)

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c)

x² + 6 x + 9 = 16

x² + 7 x - x + ( 9 - 16 ) = 0

x ( x + 7 ) - ( x + 7 ) = 0

( x + 7 ) ( x - 1 ) = 0

x + 7 = 0 ⇒   x = - 7

x - 1 = 0  ⇒    x = 1

S = { - 7; 1 }   -----------------→  5)

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(x + 2)² - 4 = 0

( x + 2 )² = (±2)²

x + 2 = 2 ⇒   x = 0

x + 2 = - 2 ⇒  x = - 4

S = { - 4; 0}  

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( 2 x + 3) ( 2 x - 3 ) = 3 × 9

4 x² - 9 = 27

4 x² = 27 + 9

x² = 36 : 4

x² = ( ±3)² ⇒  S = { -3; 3} --------------------→ 3)